476968060800 has 864 divisors, whose sum is σ = 2138072685840. Its totient is φ = 99105177600.

The previous prime is 476968060763. The next prime is 476968060813. The reversal of 476968060800 is 8060869674.

476968060800 is a `hidden beast` number, since 476 + 96 + 8 + 0 + 6 + 0 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24383824 + ... + 24403376.

Almost surely, 2^476968060800 is an apocalyptic number.

476968060800 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 476968060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069036342920).

476968060800 is an abundant number, since it is smaller than the sum of its proper divisors (1661104625040).

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

476968060800 is a wasteful number, since it uses less digits than its factorization.

476968060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19612 (or 19581 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 476968060800 in words is "four hundred seventy-six billion, nine hundred sixty-eight million, sixty thousand, eight hundred".