432681600960 has 2688 divisors, whose sum is σ = 2070541025280. Its totient is φ = 83559776256.

The previous prime is 432681600913. The next prime is 432681601013. The reversal of 432681600960 is 69006186234.

432681600960 is a `hidden beast` number, since 4 + 32 + 6 + 8 + 1 + 600 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4043753227 + ... + 4043753333.

It is an arithmetic number, because the mean of its divisors is an integer number (770290560).

Almost surely, 2^432681600960 is an apocalyptic number.

432681600960 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 432681600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035270512640).

432681600960 is an abundant number, since it is smaller than the sum of its proper divisors (1637859424320).

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

432681600960 is a wasteful number, since it uses less digits than its factorization.

432681600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 432681600960 in words is "four hundred thirty-two billion, six hundred eighty-one million, six hundred thousand, nine hundred sixty".