COC(=O)C1(C)CN(S(=O)(=O)c2ccc(C)cc2)c2cc(OC)ccc2C1=O
A rotatable bond is defined as any single non-ring bond, attached to a non-terminal, non-hydrogen atom. Amide C-N bonds are not counted because of their high barrier to rotation.  How many rotatable bonds does the molecule have?