6456251664 has 40 divisors (see below), whose sum is σ = 18531834720. Its totient is φ = 2152083744.

The previous prime is 6456251663. The next prime is 6456251677. The reversal of 6456251664 is 4661526546.

6456251664 is a `hidden beast` number, since 6 + 4 + 5 + 625 + 16 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6456251663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7472082 + ... + 7472945.

It is an arithmetic number, because the mean of its divisors is an integer number (463295868).

Almost surely, 2^6456251664 is an apocalyptic number.

It is an amenable number.

6456251664 is an abundant number, since it is smaller than the sum of its proper divisors (12075583056).

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

6456251664 is a wasteful number, since it uses less digits than its factorization.

6456251664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14945044 (or 14945032 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 6456251664 is about 80350.8037545363. The cubic root of 6456251664 is about 1862.0591970590.

The spelling of 6456251664 in words is "six billion, four hundred fifty-six million, two hundred fifty-one thousand, six hundred sixty-four".