477876568320 has 864 divisors, whose sum is σ = 1774424590848. Its totient is φ = 123070316544.

The previous prime is 477876568319. The next prime is 477876568331. The reversal of 477876568320 is 23865678774.

477876568320 is a `hidden beast` number, since 47 + 7 + 8 + 7 + 6 + 568 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1418031192 + ... + 1418031528.

Almost surely, 2^477876568320 is an apocalyptic number.

477876568320 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 477876568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887212295424).

477876568320 is an abundant number, since it is smaller than the sum of its proper divisors (1296548022528).

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

477876568320 is an equidigital number, since it uses as much as digits as its factorization.

477876568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 477876568320 in words is "four hundred seventy-seven billion, eight hundred seventy-six million, five hundred sixty-eight thousand, three hundred twenty".