476116375680 has 1024 divisors, whose sum is σ = 1880816025600. Its totient is φ = 113810780160.

The previous prime is 476116375663. The next prime is 476116375699. The reversal of 476116375680 is 86573611674.

476116375680 is a `hidden beast` number, since 4 + 7 + 6 + 11 + 63 + 7 + 568 + 0 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2920959279 + ... + 2920959441.

It is an arithmetic number, because the mean of its divisors is an integer number (1836734400).

Almost surely, 2^476116375680 is an apocalyptic number.

476116375680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476116375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940408012800).

476116375680 is an abundant number, since it is smaller than the sum of its proper divisors (1404699649920).

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

476116375680 is a wasteful number, since it uses less digits than its factorization.

476116375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 476116375680 in words is "four hundred seventy-six billion, one hundred sixteen million, three hundred seventy-five thousand, six hundred eighty".