476406650880 has 864 divisors, whose sum is σ = 1813696859520. Its totient is φ = 115511132160.

The previous prime is 476406650831. The next prime is 476406650939. The reversal of 476406650880 is 88056604674.

476406650880 is a `hidden beast` number, since 4 + 76 + 4 + 0 + 66 + 508 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 825661152 + ... + 825661728.

It is an arithmetic number, because the mean of its divisors is an integer number (2099186180).

Almost surely, 2^476406650880 is an apocalyptic number.

476406650880 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 476406650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906848429760).

476406650880 is an abundant number, since it is smaller than the sum of its proper divisors (1337290208640).

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

476406650880 is a wasteful number, since it uses less digits than its factorization.

476406650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 476406650880 in words is "four hundred seventy-six billion, four hundred six million, six hundred fifty thousand, eight hundred eighty".