<p>This work aims to construct the generalized form of holographic dark energy density which is known as the Rényi holographic dark energy within an inhomogeneous universe scenario with interacting dark sectors. This holographic model is investigated using the IR cutoff equals the Hubble horizon. The evolutionary behavior of some basic cosmological parameters, such as the Hubble parameter, the deceleration parameter, and the equation of state parameter is studied and plotted against the redshift. The stability of these models has been studied by investigating the evolution of the square of sound speed of the cosmological matter fluctuations against the redshift. In addition, the evolution of the diagnostic <i>Om</i> and <i>Lm</i> parameters is studied. The obtained results show a very good agreement between the recent values of some of the cosmological parameters with the observations. Some major differences and similarities between these models and previously studied inhomogeneous models have been shown. The features that distinguish these models from each other and the standard cosmological model have been studied by applying the state finder analysis. To investigate the viability of these models and how they are candidates to explain a realistic case of our universe, they have been tested with the violation of the second law of thermodynamics.</p>