476079363000864 has 1536 divisors, whose sum is σ = 1688540674867200. Its totient is φ = 127578435747840.

The previous prime is 476079363000863. The next prime is 476079363000893. The reversal of 476079363000864 is 468000363970674.

476079363000864 is a `hidden beast` number, since 476 + 0 + 79 + 3 + 6 + 30 + 0 + 0 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (476079363000863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1164008222292 + ... + 1164008222700.

It is an arithmetic number, because the mean of its divisors is an integer number (1099310335200).

Almost surely, 2^{476079363000864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476079363000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844270337433600).

476079363000864 is an abundant number, since it is smaller than the sum of its proper divisors (1212461311866336).

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

476079363000864 is a wasteful number, since it uses less digits than its factorization.

476079363000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 476079363000864 in words is "four hundred seventy-six trillion, seventy-nine billion, three hundred sixty-three million, eight hundred sixty-four", and thus it is an aban number.