32056578432 has 192 divisors, whose sum is σ = 94869677760. Its totient is φ = 10384174080.

The previous prime is 32056578409. The next prime is 32056578469. The reversal of 32056578432 is 23487565023.

32056578432 is a `hidden beast` number, since 3 + 2 + 0 + 565 + 7 + 84 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10450563 + ... + 10453629.

It is an arithmetic number, because the mean of its divisors is an integer number (494112905).

Almost surely, 2^32056578432 is an apocalyptic number.

32056578432 is a gapful number since it is divisible by the number (32) 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 32056578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47434838880).

32056578432 is an abundant number, since it is smaller than the sum of its proper divisors (62813099328).

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

32056578432 is a wasteful number, since it uses less digits than its factorization.

32056578432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 32056578432 in words is "thirty-two billion, fifty-six million, five hundred seventy-eight thousand, four hundred thirty-two".