Wiktionary
n. The state or quality of being catchy.
Wikipedia
Catchiness is how easy it is for one to remember a song, tune or phrase. It is often taken into account when writing songs, catchphrases, advertising slogans, jingles etc. Alternatively, it can be defined as how difficult it is for one to forget it. Songs that embody high levels of remembrance or catchiness are known as "catchy songs" or " earworms". While it is hard to scientifically explain what makes a song catchy, there are many documented techniques that recur throughout catchy music, such as repetition, hooks and alliteration. Selling Sounds: The Commercial Revolution in American Music says that "although there was no definition for what made a song catchy, all the songwriting guides agreed that simplicity and familiarity were vital".
The physical symptoms of listening to a catchy song include "running [it] over in our heads or tapping a foot". According to Todd Tremlin, catchy music "spread[s] because [it] resonates similarly from one mind to the next".