472969728000 has 2496 divisors, whose sum is σ = 2245322686464. Its totient is φ = 92897280000.

The previous prime is 472969727987. The next prime is 472969728059. The reversal of 472969728000 is 827969274.

472969728000 is a `hidden beast` number, since 472 + 9 + 6 + 97 + 2 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10999295979 + ... + 10999296021.

It is an arithmetic number, because the mean of its divisors is an integer number (899568384).

Almost surely, 2^472969728000 is an apocalyptic number.

472969728000 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 472969728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122661343232).

472969728000 is an abundant number, since it is smaller than the sum of its proper divisors (1772352958464).

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

472969728000 is a wasteful number, since it uses less digits than its factorization.

472969728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 472969728000 in words is "four hundred seventy-two billion, nine hundred sixty-nine million, seven hundred twenty-eight thousand".