of all time vs ever

of all time and ever both are adverbs.

Word	Noun	Adjective	Verb	Adverb
of all time	No	No	No	Yes
ever	No	No	No	Yes

As adverbs, of all time and ever are synonyms defined as:

of all time (adverb)	ever (adverb)
at any time	at all times; all the time and on every occasion
	at any time
	(intensifier for adjectives) very