6408997394688 has 432 divisors, whose sum is σ = 22247689726080. Its totient is φ = 1733388926976.

The previous prime is 6408997394687. The next prime is 6408997394719. The reversal of 6408997394688 is 8864937998046.

6408997394688 is a `hidden beast` number, since 6 + 4 + 0 + 89 + 9 + 73 + 9 + 468 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6408997394687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420723520 + ... + 420738752.

Almost surely, 2^{6408997394688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6408997394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11123844863040).

6408997394688 is an abundant number, since it is smaller than the sum of its proper divisors (15838692331392).

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

6408997394688 is a wasteful number, since it uses less digits than its factorization.

6408997394688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16654 (or 16637 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 6408997394688 in words is "six trillion, four hundred eight billion, nine hundred ninety-seven million, three hundred ninety-four thousand, six hundred eighty-eight".