472796709073920 has 8448 divisors, whose sum is σ = 2357540315136000. Its totient is φ = 90070415769600.

The previous prime is 472796709073883. The next prime is 472796709073943. The reversal of 472796709073920 is 29370907697274.

472796709073920 is a `hidden beast` number, since 47 + 27 + 96 + 7 + 0 + 90 + 7 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8448).

It is a super-2 number, since 2×472796709073920² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 15251506744305 + ... + 15251506744335.

Almost surely, 2^{472796709073920} is an apocalyptic number.

472796709073920 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 472796709073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178770157568000).

472796709073920 is an abundant number, since it is smaller than the sum of its proper divisors (1884743606062080).

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

472796709073920 is an equidigital number, since it uses as much as digits as its factorization.

472796709073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 504094752, while the sum is 72.

The spelling of 472796709073920 in words is "four hundred seventy-two trillion, seven hundred ninety-six billion, seven hundred nine million, seventy-three thousand, nine hundred twenty".