O=C1/C(=C\c2ccc(O)c(O)c2)Oc2c1ccc(O[C@@H]1O[C@H](CO)[C@@H](O)[C@H](O)[C@H]1O)c2O
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?