COc1cccc([C@@H]2Oc3ccc(OC)cc3C(=O)[C@H]2OC(=O)Nc2ccc(C)c(Br)c2)c1
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?