We combine current measurements of the local expansion rate, H0, and Big Bang Nucleosynthesis (BBN) estimates of helium abundance with the latest cosmic microwave background (CMB) data from the Planck Collaboration to discuss the observational viability of the scale invariant HarrisonZeldovch-Peebles (HZP) spectrum. We also analyze some of its extensions, namely, HZP + YP and HZP + N ef f , where YP is the primordial helium mass fraction and N ef f is the effective number of relativistic degrees of freedom. We perform a Bayesian analysis and show that the latter model is favored with respect to the standard cosmology for values of N ef f lying in the interval 3.70 ± 0.13 (1σ), which is currently allowed by some independent analyses. , long before realistic physical mechanisms of generation of density perturbations have been proposed. Such a spectrum, characterized by a spectral index n s = 1, was proven in accordance with the early CMB data but became less attractive from the observational point of view as new and more precise data became available. The most recent result, using data from the second release of the Planck collaboration, shows that n s = 1 at 5.6σ [4] 1 . Theoretically, it is undeniable that the confirmation of this result, although not definitely proving the inflationary scenario [8], has important consequences and points to the success of the theory of the quantum origin of cosmological perturbations and the early cosmic acceleration [9,10], which is the current paradigm for the early universe.