466576675664 has 120 divisors (see below), whose sum is σ = 1015888728960. Its totient is φ = 207342446080.

The previous prime is 466576675633. The next prime is 466576675681.

466576675664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466576675594 and 466576675603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105821492 + ... + 105825900.

It is an arithmetic number, because the mean of its divisors is an integer number (8465739408).

Almost surely, 2^466576675664 is an apocalyptic number.

466576675664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466576675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507944364480).

466576675664 is an abundant number, since it is smaller than the sum of its proper divisors (549312053296).

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

466576675664 is a wasteful number, since it uses less digits than its factorization.

466576675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5632 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 68.

The spelling of 466576675664 in words is "four hundred sixty-six billion, five hundred seventy-six million, six hundred seventy-five thousand, six hundred sixty-four".