476657670048768 has 1408 divisors, whose sum is σ = 1590764954419200. Its totient is φ = 139983121022976.

The previous prime is 476657670048761. The next prime is 476657670048773. The reversal of 476657670048768 is 867840076756674.

476657670048768 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 5 + 7 + 6 + 70 + 0 + 487 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (476657670048761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525532160571 + ... + 525532161477.

Almost surely, 2^{476657670048768} is an apocalyptic number.

476657670048768 is a gapful number since it is divisible by the number (48) 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 476657670048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795382477209600).

476657670048768 is an abundant number, since it is smaller than the sum of its proper divisors (1114107284370432).

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

476657670048768 is a wasteful number, since it uses less digits than its factorization.

476657670048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 15931883520, while the sum is 81.

The spelling of 476657670048768 in words is "four hundred seventy-six trillion, six hundred fifty-seven billion, six hundred seventy million, forty-eight thousand, seven hundred sixty-eight".