O=C(O)CO[C@@]12C#C/C=C\C#C[C@@H]3N(C(=O)Oc4ccccc4)c4ccccc4[C@]14O[C@@]34CCC2
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?