6405959642688 has 56 divisors (see below), whose sum is σ = 18832335065760. Its totient is φ = 2135319880320.

The previous prime is 6405959642683. The next prime is 6405959642707. The reversal of 6405959642688 is 8862469595046.

6405959642688 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 9 + 596 + 4 + 26 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6405959642683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853574558 + ... + 1853578013.

Almost surely, 2^{6405959642688} is an apocalyptic number.

It is an amenable number.

6405959642688 is an abundant number, since it is smaller than the sum of its proper divisors (12426375423072).

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

6405959642688 is a wasteful number, since it uses less digits than its factorization.

6405959642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707152592 (or 3707152576 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 6405959642688 in words is "six trillion, four hundred five billion, nine hundred fifty-nine million, six hundred forty-two thousand, six hundred eighty-eight".