472016347920 has 800 divisors, whose sum is σ = 1882437849600. Its totient is φ = 108650999808.

The previous prime is 472016347909. The next prime is 472016347927. The reversal of 472016347920 is 29743610274.

472016347920 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 1 + 634 + 7 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (472016347927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126442374 + ... + 126446106.

It is an arithmetic number, because the mean of its divisors is an integer number (2353047312).

Almost surely, 2^472016347920 is an apocalyptic number.

472016347920 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 472016347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941218924800).

472016347920 is an abundant number, since it is smaller than the sum of its proper divisors (1410421501680).

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

472016347920 is a wasteful number, since it uses less digits than its factorization.

472016347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 472016347920 in words is "four hundred seventy-two billion, sixteen million, three hundred forty-seven thousand, nine hundred twenty".