Sulfur hexafluoride (SF$_6$) is a very strong greenhouse gas of anthropogenic origin. Its relatively high molecular mass leads to a very dense molecular spectrum which is quite difficult to analyze. Our groups performed recently strong experimental and theoretical efforts in order to assign and model many cold and hot bands of SF$_6$, allowing to strongly improve the modeling of its atmospheric absorption\footnote{M. Faye {\em et al.\/}, J. Quant. Spectrosc. Radiat Transfer {\bf190}, 38,47 (2017) ; M. Faye {\em et al.\/}, J. Mol. Spectrosc. in press (2018).}. We present here a synthesis of the latest available data and global analyses performed thanks to the formalism and programs developed in Dijon. In particular, new progress has been rea...