reverberate has 12 distinct synonyms spread across 3 of its 6 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
have a long or continuing effect
“The discussions with my teacher reverberated throughout my adult life”
be reflected as heat, sound, or light or shock waves
“the waves reverberate as far away as the end of the building”
treat, process, heat, melt, or refine in a reverberatory furnace
“reverberate ore”
Synonyms, antonyms and the broader and narrower relations for reverberate come from Princeton University’s WordNet. Full sources and licences.