46672427664 has 80 divisors (see below), whose sum is σ = 136237857600. Its totient is φ = 15293781504.

The previous prime is 46672427647. The next prime is 46672427671.

46672427664 is a `hidden beast` number, since 466 + 72 + 42 + 76 + 6 + 4 = 666.

46672427664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46672427664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890089 + ... + 941064.

It is an arithmetic number, because the mean of its divisors is an integer number (1702973220).

Almost surely, 2^46672427664 is an apocalyptic number.

It is an amenable number.

46672427664 is an abundant number, since it is smaller than the sum of its proper divisors (89565429936).

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

46672427664 is a wasteful number, since it uses less digits than its factorization.

46672427664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831229 (or 1831217 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 46672427664 in words is "forty-six billion, six hundred seventy-two million, four hundred twenty-seven thousand, six hundred sixty-four".