Hyperactively refers to a state of excessive or extreme activity or energy. There are several synonyms that can be used to describe this state, such as overactively, frenetically, excessively, zealously, tirelessly, non-stop, manically, feverishly, agitatedly, and restlessly. These words can be employed to convey the sense of someone who is always on the move, constantly restless, and unable to sit still. They could be used to describe a person who is always busy, working hard, and exerting too much energy. These synonyms can help to create vivid descriptions and paint a picture of a person who is extremely active and restless.