I don't think 6^6^5^4^3^2^1 is quite near infinity...
No, it isn't......infinity cannot be 'reached'...it is a concept. Your number is VERY large and you might be able to act as though it is near infinity compared to other numbers in your compution or equation....., but in reality it is not.....
I agree, infinity isn't considered a number. Plus infinity is never ending, while 6^6^5^4^3^2^1 does have an end.