A certain robot has $4$ "eyes" having the same number of pixels in each eye. If each pixel is a superposition of $4$ colors, and each color can be one of $417,889$ different intensities. What is the maximum number of pixels $($in millions to three decimal places$)$ that can be in each eye if each eye "takes" $9$ images per second, and the maximum data rate used to save what the robot sees in real time is $6\mathrm{.}2$ GB$/$s$?$