470647687413672 has 128 divisors (see below), whose sum is σ = 1323574946160000. Its totient is φ = 156873070360512.

The previous prime is 470647687413661. The next prime is 470647687413689. The reversal of 470647687413672 is 276314786746074.

470647687413672 is a `hidden beast` number, since 4 + 7 + 0 + 6 + 4 + 76 + 87 + 413 + 67 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 470647687413672.

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, 291360258 + ... + 292971150.

It is an arithmetic number, because the mean of its divisors is an integer number (10340429266875).

Almost surely, 2^{470647687413672} 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 470647687413672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661787473080000).

470647687413672 is an abundant number, since it is smaller than the sum of its proper divisors (852927258746328).

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

470647687413672 is a wasteful number, since it uses less digits than its factorization.

470647687413672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627619 (or 1627597 counting only the distinct ones).

The product of its (nonzero) digits is 1593188352, while the sum is 72.

The spelling of 470647687413672 in words is "four hundred seventy trillion, six hundred forty-seven billion, six hundred eighty-seven million, four hundred thirteen thousand, six hundred seventy-two".