466632236664 has 128 divisors (see below), whose sum is σ = 1452254572800. Its totient is φ = 137581960320.

The previous prime is 466632236593. The next prime is 466632236677.

466632236664 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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 466632236664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566062 + ... + 2741885.

It is an arithmetic number, because the mean of its divisors is an integer number (11345738850).

Almost surely, 2^466632236664 is an apocalyptic number.

466632236664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466632236664 is an abundant number, since it is smaller than the sum of its proper divisors (985622336136).

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

466632236664 is a wasteful number, since it uses less digits than its factorization.

466632236664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308010 (or 5308000 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 466632236664 in words is "four hundred sixty-six billion, six hundred thirty-two million, two hundred thirty-six thousand, six hundred sixty-four".