476790572160 has 2304 divisors, whose sum is σ = 2171319696000. Its totient is φ = 99325771776.

The previous prime is 476790572149. The next prime is 476790572257. The reversal of 476790572160 is 61275097674.

476790572160 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 9 + 0 + 572 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 476790572097 and 476790572106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5357197396 + ... + 5357197484.

Almost surely, 2^476790572160 is an apocalyptic number.

476790572160 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 476790572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085659848000).

476790572160 is an abundant number, since it is smaller than the sum of its proper divisors (1694529123840).

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

476790572160 is a wasteful number, since it uses less digits than its factorization.

476790572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 476790572160 in words is "four hundred seventy-six billion, seven hundred ninety million, five hundred seventy-two thousand, one hundred sixty".