476081528832 has 1344 divisors, whose sum is σ = 1840767667200. Its totient is φ = 120394874880.

The previous prime is 476081528831. The next prime is 476081528851. The reversal of 476081528832 is 238825180674.

476081528832 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 81 + 528 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (476081528831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4367720394 + ... + 4367720502.

It is an arithmetic number, because the mean of its divisors is an integer number (1369618800).

Almost surely, 2^476081528832 is an apocalyptic number.

476081528832 is a gapful number since it is divisible by the number (42) 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 476081528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920383833600).

476081528832 is an abundant number, since it is smaller than the sum of its proper divisors (1364686138368).

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

476081528832 is a wasteful number, since it uses less digits than its factorization.

476081528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 476081528832 in words is "four hundred seventy-six billion, eighty-one million, five hundred twenty-eight thousand, eight hundred thirty-two".