476682850260864 has 512 divisors, whose sum is σ = 1536131588342400. Its totient is φ = 144636159983616.

The previous prime is 476682850260863. The next prime is 476682850260899. The reversal of 476682850260864 is 468062058286674.

476682850260864 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 8 + 2 + 8 + 5 + 0 + 2 + 608 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 476682850260792 and 476682850260801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476682850260863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25637749552 + ... + 25637768144.

Almost surely, 2^{476682850260864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476682850260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768065794171200).

476682850260864 is an abundant number, since it is smaller than the sum of its proper divisors (1059448738081536).

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

476682850260864 is a wasteful number, since it uses less digits than its factorization.

476682850260864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26519 (or 26501 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 72.

The spelling of 476682850260864 in words is "four hundred seventy-six trillion, six hundred eighty-two billion, eight hundred fifty million, two hundred sixty thousand, eight hundred sixty-four".