470961725760 has 224 divisors, whose sum is σ = 1701972720000. Its totient is φ = 122526535680.

The previous prime is 470961725749. The next prime is 470961725813. The reversal of 470961725760 is 67527169074.

470961725760 is a `hidden beast` number, since 4 + 7 + 0 + 9 + 61 + 7 + 2 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 470961725697 and 470961725706.

It is a congruent number.

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, 310510 + ... + 1018989.

It is an arithmetic number, because the mean of its divisors is an integer number (7598092500).

Almost surely, 2^470961725760 is an apocalyptic number.

470961725760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470961725760 is an abundant number, since it is smaller than the sum of its proper divisors (1231010994240).

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

470961725760 is a wasteful number, since it uses less digits than its factorization.

470961725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329566 (or 1329550 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 470961725760 in words is "four hundred seventy billion, nine hundred sixty-one million, seven hundred twenty-five thousand, seven hundred sixty".