How many songs are in the Bible?

There are hundreds. First there are the 150 psalms in the Old Testament which are the 'songs' of the Hebrews that they sang ( and Christian churches still sing) even hundreds of years before Christ. In addition, there are several songs in the New Testament including the Song of Mary (the 'Magnificat') the Song of Simeon ('the 'Nunc Dimittis') and the Song of Zechariah (the 'Benedictus'). The so called 'Song of Solomon' or 'Song of Songs' found in the Old Testament is more akin to an erotic love poem rather than a song despite its name.