It would depend on the circumstances.. because "invincible" can be a loose term. Are we talking like bullets and cars just bounce right off? or if you get half your head blown off you keep on living but have to deal with half a face?
I'd join the armed forces there would be nothing close to the moral kill of shooting at a guy and he just smiles and keeps firing.
I'd get a job as a fire fighter in New York City or be a police officer in Compton
I would smoke a lot more
I would walk into a church with some rail road spikes and a cross, have someone crucify me and become A GOD!
and I would become a professional stunt man and do all the **** that CGI normally takes care of.