WRONG + WRONG = RIGHT

They say that 2 wrongs do not make a right. But sometimes, they can.

In this alphameric puzzle, we could replace each of the letters with a unique digit, such that the addition works. For example, we have

\[ \begin{align}
& 12734 \\ + & 12734 \\ \hline & 25468 \\ \end{align} \]

What is the total number of such solutions?

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