472937868720 has 800 divisors, whose sum is σ = 1744665120000. Its totient is φ = 118589847552.

The previous prime is 472937868703. The next prime is 472937868731. The reversal of 472937868720 is 27868739274.

472937868720 is a `hidden beast` number, since 472 + 9 + 3 + 7 + 86 + 87 + 2 + 0 = 666.

472937868720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 947771031 + ... + 947771529.

It is an arithmetic number, because the mean of its divisors is an integer number (2180831400).

Almost surely, 2^472937868720 is an apocalyptic number.

472937868720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472937868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872332560000).

472937868720 is an abundant number, since it is smaller than the sum of its proper divisors (1271727251280).

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

472937868720 is a wasteful number, since it uses less digits than its factorization.

472937868720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 472937868720 in words is "four hundred seventy-two billion, nine hundred thirty-seven million, eight hundred sixty-eight thousand, seven hundred twenty".