One of the key issues in unraveling the mystery of high T C superconductivity in the cuprates is to understand the normal state outside the superconducting dome. Here we perform scanning tunneling microscopy and spectroscopy measurements on a heavily overdoped, non-superconducting (Bi, Pb) 2 Sr 2 CuO 6+δ cuprate. Spectroscopic imaging reveals dispersive quasiparticle interferences (QPIs) and the Fourier transforms uncover the evolution of momentum space topology. More interestingly, we observe nanoscale patches of static charge order with2 2periodicity. Both the dispersive QPI and static charge order can be qualitatively explained by theoretical calculations, which reveal the unique electronic structure of strongly overdoped cuprate.The superconducting (SC) state of high T C cuprates exists within a 'dome' in the phase diagram in figure 1(a) and disappears both in the severely underdoped and heavily overdoped limits. Because the cuprates are widely believed to be doped Mott insulators [1], the underdoped regime near the parent compound has been extensively studied by various experimental techniques, which have revealed highly unusual phenomena such as the pseudogap phase [2] and complex charge/spin orders [3][4][5][6][7][8][9][10][11][12][13][14]. On the contrary, the heavily overdoped regime is much less explored because it is generally considered to be a rather conventional Fermi liquid (FL) state. This point has been illustrated by the crossover from a non-FL-like linear-in-temperature (T) resistivity at optimal doping to the T 2 dependent resistivity characteristic of Landau FL in the heavily overdoped regime [15][16][17][18][19], as well as quantum oscillation experiments revealing a single hole-like Fermi surface (FS) [20,21]. Because the physics of the FL is well-understood, the heavily overdoped limit can actually serve as another valid starting point, presumably more accessible than the Mott insulator limit, for understanding the origin of superconductivity in cuprates. Previous experiments on overdoped cuprates have revealed a number of important features regarding the electronic structure. Angle-resolved photoemission spectroscopy (ARPES) shows a FS topology transition from a (π, π)-centered hole-like pocket to a (0, 0)-centered electron-like pocket [22][23][24]. For single band tight-binding model [25,26], the two-dimensional FS topology change should be accompanied by a logarithmic divergence of electron density of states (DOS) known as the Van Hove singularity (VHS) [27]. Recent scanning tunneling microscopy (STM) experiments provide direct evidence for a VHS in heavily overdoped cuprate, as well as the existence of pseudogap [26]. However, it is still unclear how the electronic structure evolves across the phase boundary in the overdoped side. Especially, the charge order phenomenon, which is ubiquitous in underdoped cuprates and entangles intricately with superconductivity [7,[28][29][30], has been mostly neglected in the heavily overdoped non-SC regime of the phase diagram. In order to e...