32405972758432 has 192 divisors, whose sum is σ = 78689156071680. Its totient is φ = 12792703942656.

The previous prime is 32405972758421. The next prime is 32405972758499. The reversal of 32405972758432 is 23485727950423.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5113768768 + ... + 5113775104.

It is an arithmetic number, because the mean of its divisors is an integer number (409839354540).

Almost surely, 2^{32405972758432} is an apocalyptic number.

32405972758432 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 32405972758432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39344578035840).

32405972758432 is an abundant number, since it is smaller than the sum of its proper divisors (46283183313248).

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

32405972758432 is a wasteful number, since it uses less digits than its factorization.

32405972758432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 61.

The spelling of 32405972758432 in words is "thirty-two trillion, four hundred five billion, nine hundred seventy-two million, seven hundred fifty-eight thousand, four hundred thirty-two".