466579975664 has 40 divisors (see below), whose sum is σ = 986297133360. Its totient is φ = 212056704000.

The previous prime is 466579975627. The next prime is 466579975699.

466579975664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466579975591 and 466579975600.

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, 1376714 + ... + 1681814.

It is an arithmetic number, because the mean of its divisors is an integer number (24657428334).

Almost surely, 2^466579975664 is an apocalyptic number.

466579975664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466579975664 is an abundant number, since it is smaller than the sum of its proper divisors (519717157696).

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

466579975664 is a wasteful number, since it uses less digits than its factorization.

466579975664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313809 (or 313803 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 74.

The spelling of 466579975664 in words is "four hundred sixty-six billion, five hundred seventy-nine million, nine hundred seventy-five thousand, six hundred sixty-four".