16, 24, 48, 120, 360, 1260, ?

The given numbers series is based on the following patterns :
16 x 1.5 = 24
24 x 2 = 48
48 x 2.5 = 120
120 x 3 = 360
360 x 3.5 = 1260
∴ ? = 1260 x 4 = 5040