altogether vs totally

altogether is a noun but totally is not a noun.

Word	Noun	Adjective	Verb	Adverb
altogether	Yes	No	No	Yes
totally	No	No	No	Yes

As adverbs, altogether and totally are synonyms defined as:

altogether and totally: to a complete degree or to the full or entire extent; Completely or entirely

Other synonyms of altogether include all, completely, entirely, right, whole, wholly.

altogether (noun)	totally (noun)
informal terms for nakedness

altogether (adverb)	totally (adverb)
with everything included or counted	to a complete degree or to the full or entire extent; Completely or entirely
with everything considered (and neglecting details)
to a complete degree or to the full or entire extent; Completely or entirely