Extremely Large Cubes

Let \(f(n)\) find the sum of the digits of \(n.\) Find the value of \(f\left(f\left((5385624408^3+3029229091^3)^3+(7945317655^3+3151181443^3)^3\right)\right)\)

\(\textbf{Details and Assumptions}\)

The answer to this question is a one-digit number.

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