6401648664072 has 24 divisors (see below), whose sum is σ = 17337798465390. Its totient is φ = 2133882888000.

The previous prime is 6401648664023. The next prime is 6401648664097. The reversal of 6401648664072 is 2704668461046.

It is a happy number.

6401648664072 is a `hidden beast` number, since 6 + 40 + 16 + 486 + 6 + 40 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6149437797636 + 252210866436 = 2479806^2 + 502206^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×6401648664072² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44455893429 + ... + 44455893572.

Almost surely, 2^{6401648664072} is an apocalyptic number.

It is an amenable number.

6401648664072 is an abundant number, since it is smaller than the sum of its proper divisors (10936149801318).

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

6401648664072 is a wasteful number, since it uses less digits than its factorization.

6401648664072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88911787013 (or 88911787006 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 6401648664072 in words is "six trillion, four hundred one billion, six hundred forty-eight million, six hundred sixty-four thousand, seventy-two".