476279629056 has 864 divisors, whose sum is σ = 1836656640000. Its totient is φ = 114900664320.

The previous prime is 476279629051. The next prime is 476279629099. The reversal of 476279629056 is 650926972674.

476279629056 is a `hidden beast` number, since 4 + 76 + 279 + 6 + 290 + 5 + 6 = 666.

It is a super-2 number, since 2×476279629056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 476279628984 and 476279629002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476279629051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238257945 + ... + 238259943.

It is an arithmetic number, because the mean of its divisors is an integer number (2125760000).

Almost surely, 2^476279629056 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 476279629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320000).

476279629056 is an abundant number, since it is smaller than the sum of its proper divisors (1360377010944).

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

476279629056 is a wasteful number, since it uses less digits than its factorization.

476279629056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 476279629056 in words is "four hundred seventy-six billion, two hundred seventy-nine million, six hundred twenty-nine thousand, fifty-six".