468638727836864 has 56 divisors (see below), whose sum is σ = 1001521034109120. Its totient is φ = 216288089247744.

The previous prime is 468638727836791. The next prime is 468638727836887.

468638727836864 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18157592 + ... + 35594600.

It is an arithmetic number, because the mean of its divisors is an integer number (17884304180520).

Almost surely, 2^{468638727836864} is an apocalyptic number.

It is an amenable number.

468638727836864 is an abundant number, since it is smaller than the sum of its proper divisors (532882306272256).

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

468638727836864 is a wasteful number, since it uses less digits than its factorization.

468638727836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17469337 (or 17469327 counting only the distinct ones).

The product of its digits is 74912366592, while the sum is 86.

The spelling of 468638727836864 in words is "four hundred sixty-eight trillion, six hundred thirty-eight billion, seven hundred twenty-seven million, eight hundred thirty-six thousand, eight hundred sixty-four".