468995679364680 has 256 divisors, whose sum is σ = 1692297425952000. Its totient is φ = 114846928551936.

The previous prime is 468995679364657. The next prime is 468995679364727. The reversal of 468995679364680 is 86463976599864.

468995679364680 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 9 + 56 + 7 + 93 + 6 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83829790 + ... + 89249229.

It is an arithmetic number, because the mean of its divisors is an integer number (6610536820125).

Almost surely, 2^{468995679364680} is an apocalyptic number.

468995679364680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468995679364680 is an abundant number, since it is smaller than the sum of its proper divisors (1223301746587320).

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

468995679364680 is a wasteful number, since it uses less digits than its factorization.

468995679364680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173079245 (or 173079235 counting only the distinct ones).

The product of its (nonzero) digits is 101583175680, while the sum is 90.

The spelling of 468995679364680 in words is "four hundred sixty-eight trillion, nine hundred ninety-five billion, six hundred seventy-nine million, three hundred sixty-four thousand, six hundred eighty".