6409465557696 has 196 divisors, whose sum is σ = 19898561291952. Its totient is φ = 2043597371904.

The previous prime is 6409465557679. The next prime is 6409465557713. The reversal of 6409465557696 is 6967555649046.

6409465557696 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 4 + 6 + 5 + 557 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6409465557679) and next prime (6409465557713).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1913371 + ... + 4059546.

Almost surely, 2^{6409465557696} is an apocalyptic number.

It is an amenable number.

6409465557696 is an abundant number, since it is smaller than the sum of its proper divisors (13489095734256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6409465557696 is an equidigital number, since it uses as much as digits as its factorization.

6409465557696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972970 (or 5972945 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 6409465557696 in words is "six trillion, four hundred nine billion, four hundred sixty-five million, five hundred fifty-seven thousand, six hundred ninety-six".