464689317380904 has 256 divisors, whose sum is σ = 1625247457689600. Its totient is φ = 119503488672000.

The previous prime is 464689317380891. The next prime is 464689317380923. The reversal of 464689317380904 is 409083713986464.

It is a happy number.

464689317380904 is a `hidden beast` number, since 4 + 6 + 4 + 68 + 93 + 17 + 380 + 90 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 136634392 + ... + 139994055.

It is an arithmetic number, because the mean of its divisors is an integer number (6348622881600).

Almost surely, 2^{464689317380904} is an apocalyptic number.

464689317380904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464689317380904 is an abundant number, since it is smaller than the sum of its proper divisors (1160558140308696).

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

464689317380904 is a wasteful number, since it uses less digits than its factorization.

464689317380904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276628581 (or 276628571 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 464689317380904 in words is "four hundred sixty-four trillion, six hundred eighty-nine billion, three hundred seventeen million, three hundred eighty thousand, nine hundred four".