472648634089632 has 1728 divisors, whose sum is σ = 1841605790588928. Its totient is φ = 111878350848000.

The previous prime is 472648634089609. The next prime is 472648634089633. The reversal of 472648634089632 is 236980436846274.

It is a happy number.

472648634089632 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 48 + 63 + 408 + 96 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (472648634089633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122670289818 + ... + 122670293670.

It is an arithmetic number, because the mean of its divisors is an integer number (1065744091776).

Almost surely, 2^{472648634089632} is an apocalyptic number.

472648634089632 is a gapful number since it is divisible by the number (42) 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 472648634089632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920802895294464).

472648634089632 is an abundant number, since it is smaller than the sum of its proper divisors (1368957156499296).

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

472648634089632 is a wasteful number, since it uses less digits than its factorization.

472648634089632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 72.

The spelling of 472648634089632 in words is "four hundred seventy-two trillion, six hundred forty-eight billion, six hundred thirty-four million, eighty-nine thousand, six hundred thirty-two".