Use of all and everything?

Hi guys, I have a doubt from the song "All of me" by John Legend. It can be Everything of me too?? or what is the difference??

<em>Everything is a noun, and all is an adjective, so it has to be used with a noun (like me), for example:</em>

<em>All of my friends live in my neighborhood. OR Everyone in my neighborhood knows me.</em>

<em>                            We ate all (of) the pizza. OR We ate everything!</em>