472816604377524 has 192 divisors, whose sum is σ = 1330774716579840. Its totient is φ = 128885759354880.

The previous prime is 472816604377457. The next prime is 472816604377549. The reversal of 472816604377524 is 425773406618274.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62430442 + ... + 69593054.

It is an arithmetic number, because the mean of its divisors is an integer number (6931118315520).

Almost surely, 2^{472816604377524} is an apocalyptic number.

472816604377524 is a gapful number since it is divisible by the number (44) 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 472816604377524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665387358289920).

472816604377524 is an abundant number, since it is smaller than the sum of its proper divisors (857958112202316).

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

472816604377524 is a wasteful number, since it uses less digits than its factorization.

472816604377524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163950 (or 7163948 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 66.

The spelling of 472816604377524 in words is "four hundred seventy-two trillion, eight hundred sixteen billion, six hundred four million, three hundred seventy-seven thousand, five hundred twenty-four".