Is it normal that I can replay any song I hear on guitar perfectly?

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Earlier tonight I was at a party with my guitar. People would ask me to play songs and I would play one of the hundreds of songs I'm familiar with that they would request. How am I able to remember so many chords and lyrics without exploding! And how is it possible that when I hear a song, I can imagine the notes in my head and where they would be on the instrument replaying perfectly? I've been playing music for about 6 years now with only 3 years of trombone lessons. I have also taught my self to play bass, piano, drums, harmonica, and I sing.