476334341273504 has 192 divisors, whose sum is σ = 1080123055441920. Its totient is φ = 202554981089280.

The previous prime is 476334341273489. The next prime is 476334341273507. The reversal of 476334341273504 is 405372143433674.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 476334341273504.

It is not an unprimeable number, because it can be changed into a prime (476334341273507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33656061692 + ... + 33656075844.

It is an arithmetic number, because the mean of its divisors is an integer number (5625640913760).

Almost surely, 2^{476334341273504} 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 476334341273504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540061527720960).

476334341273504 is an abundant number, since it is smaller than the sum of its proper divisors (603788714168416).

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

476334341273504 is a wasteful number, since it uses less digits than its factorization.

476334341273504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16343 (or 16335 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 56.

The spelling of 476334341273504 in words is "four hundred seventy-six trillion, three hundred thirty-four billion, three hundred forty-one million, two hundred seventy-three thousand, five hundred four".