470121774280704 has 5824 divisors, whose sum is σ = 1963706198630400. Its totient is φ = 111244864389120.

The previous prime is 470121774280703. The next prime is 470121774280709. The reversal of 470121774280704 is 407082477121074.

470121774280704 is a `hidden beast` number, since 4 + 70 + 12 + 1 + 77 + 428 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (5824).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470121774280703) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7016742899679 + ... + 7016742899745.

Almost surely, 2^{470121774280704} 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 470121774280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981853099315200).

470121774280704 is an abundant number, since it is smaller than the sum of its proper divisors (1493584424349696).

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

470121774280704 is an equidigital number, since it uses as much as digits as its factorization.

470121774280704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 470121774280704 in words is "four hundred seventy trillion, one hundred twenty-one billion, seven hundred seventy-four million, two hundred eighty thousand, seven hundred four".