Given any positive integer n, let (n) be the number of positive integers less than or equal to n that are relatively prime to n. Find the last three digits of [tex] \large \phi( {3}^{2} )^{ \phi( {4}^{2}) {}^{ \phi( {5}^{2})^{.^{.^{. \phi(2019 {}^{2} )} } } }{}^{} }[/tex]?​