Board Thread:Naruto Discussions/@comment-3568954-20150812230724/@comment-1018594-20150813005514

The Demonic Statue of the Outer Path's tremendous life force kept Hagoromo alive after he divided the Ten-Tails' chakra into the nine Tailed Beasts.

When he sealed the Statue into the moon, that was when he became susceptible to death.

And Madara never said that being the Ten-Tails' jinchuriki made him immortal. He said that the Six Paths Power enhanced his Regeneration Ability to the point that he might as well have immortality.