432591763968 has 640 divisors, whose sum is σ = 1582138736640. Its totient is φ = 113646551040.

The previous prime is 432591763859. The next prime is 432591763973. The reversal of 432591763968 is 869367195234.

432591763968 is a `hidden beast` number, since 4 + 3 + 2 + 591 + 7 + 6 + 39 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436519953 + ... + 436520943.

It is an arithmetic number, because the mean of its divisors is an integer number (2472091776).

Almost surely, 2^432591763968 is an apocalyptic number.

432591763968 is a gapful number since it is divisible by the number (48) 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 432591763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791069368320).

432591763968 is an abundant number, since it is smaller than the sum of its proper divisors (1149546972672).

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

432591763968 is a wasteful number, since it uses less digits than its factorization.

432591763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1363 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 432591763968 in words is "four hundred thirty-two billion, five hundred ninety-one million, seven hundred sixty-three thousand, nine hundred sixty-eight".