466004400664 has 32 divisors (see below), whose sum is σ = 954637358400. Its totient is φ = 211498729120.

The previous prime is 466004400643. The next prime is 466004400727.

It is a happy number.

466004400664 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3959842 + ... + 4075825.

It is an arithmetic number, because the mean of its divisors is an integer number (29832417450).

Almost surely, 2^466004400664 is an apocalyptic number.

466004400664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466004400664 is an abundant number, since it is smaller than the sum of its proper divisors (488632957736).

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

466004400664 is a wasteful number, since it uses less digits than its factorization.

466004400664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8036343 (or 8036339 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 466004 and 400664, that added together give a palindrome (866668).

The spelling of 466004400664 in words is "four hundred sixty-six billion, four million, four hundred thousand, six hundred sixty-four".