Those delivering souls to the underworld such as Hermes.
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I don't know about epithet, but the Greeks had a verb ekcha rubdizô, which meant to swallow like Kharybdis.
Hestia's epithet was "Hestia Presveira" meaning "Hestia the oldest." This was because she was the eldest of the Olympians.
the monster of the gray rock
light-footed Achilles
One of Odysseus's epithets is "wily"