432096638688 has 1152 divisors, whose sum is σ = 1606193971200. Its totient is φ = 108167270400.

The previous prime is 432096638681. The next prime is 432096638723. The reversal of 432096638688 is 886836690234.

432096638688 is a `hidden beast` number, since 43 + 209 + 6 + 6 + 386 + 8 + 8 = 666.

It is a super-2 number, since 2×432096638688² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432096638681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1140096483 + ... + 1140096861.

It is an arithmetic number, because the mean of its divisors is an integer number (1394265600).

Almost surely, 2^432096638688 is an apocalyptic number.

432096638688 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 432096638688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803096985600).

432096638688 is an abundant number, since it is smaller than the sum of its proper divisors (1174097332512).

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

432096638688 is a wasteful number, since it uses less digits than its factorization.

432096638688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 432096638688 in words is "four hundred thirty-two billion, ninety-six million, six hundred thirty-eight thousand, six hundred eighty-eight".