472539681792000 has 2688 divisors, whose sum is σ = 1876659994460160. Its totient is φ = 118287964569600.

The previous prime is 472539681791927. The next prime is 472539681792083. The reversal of 472539681792000 is 297186935274.

472539681792000 is a `hidden beast` number, since 4 + 7 + 2 + 539 + 6 + 8 + 1 + 7 + 92 + 0 + 0 + 0 = 666.

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, 600431615607 + ... + 600431616393.

It is an arithmetic number, because the mean of its divisors is an integer number (698162200320).

It is a 1-persistent number, because it is pandigital, but 2⋅472539681792000 = 945079363584000 is not.

Almost surely, 2^{472539681792000} is an apocalyptic number.

472539681792000 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 472539681792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938329997230080).

472539681792000 is an abundant number, since it is smaller than the sum of its proper divisors (1404120312668160).

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

472539681792000 is an equidigital number, since it uses as much as digits as its factorization.

472539681792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 472539681792000 in words is "four hundred seventy-two trillion, five hundred thirty-nine billion, six hundred eighty-one million, seven hundred ninety-two thousand".