465976679564 has 24 divisors (see below), whose sum is σ = 889640953488. Its totient is φ = 211795888640.

The previous prime is 465976679549. The next prime is 465976679569.

465976679564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465976679491 and 465976679500.

It is not an unprimeable number, because it can be changed into a prime (465976679569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540404 + ... + 1106340.

It is an arithmetic number, because the mean of its divisors is an integer number (37068373062).

Almost surely, 2^465976679564 is an apocalyptic number.

465976679564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465976679564 is a deficient number, since it is larger than the sum of its proper divisors (423664273924).

465976679564 is a wasteful number, since it uses less digits than its factorization.

465976679564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584665 (or 584663 counting only the distinct ones).

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

The spelling of 465976679564 in words is "four hundred sixty-five billion, nine hundred seventy-six million, six hundred seventy-nine thousand, five hundred sixty-four".