479697370100352 has 256 divisors, whose sum is σ = 1454091753571200. Its totient is φ = 155571735158784.

The previous prime is 479697370100287. The next prime is 479697370100407. The reversal of 479697370100352 is 253001073796974.

It is a happy number.

479697370100352 is a `hidden beast` number, since 4 + 7 + 96 + 97 + 3 + 7 + 0 + 100 + 352 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 479697370100352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4643364283 + ... + 4643467589.

Almost surely, 2^{479697370100352} 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 479697370100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727045876785600).

479697370100352 is an abundant number, since it is smaller than the sum of its proper divisors (974394383470848).

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

479697370100352 is a wasteful number, since it uses less digits than its factorization.

479697370100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139680 (or 139662 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 479697370100352 in words is "four hundred seventy-nine trillion, six hundred ninety-seven billion, three hundred seventy million, one hundred thousand, three hundred fifty-two".