Kalliope is the Greek spelling of Calliope — from kallos (beauty) + ops (voice) — beautiful voice. Calliope Jukebox — modern American jukebox brand. Callie Stephanides — central character of Jeffrey Eugenides's Middlesex (2002), Pulitzer Prize for Fiction (2003); the intersex Greek-American narrator's full name is Calliope. Calliope Torres — Grey's Anatomy character.
Kalliope does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Kalliope reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.