32925978624 has 832 divisors, whose sum is σ = 122290974720. Its totient is φ = 7612661760.

The previous prime is 32925978623. The next prime is 32925978653. The reversal of 32925978624 is 42687952923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32925978623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369954772 + ... + 369954860.

Almost surely, 2^32925978624 is an apocalyptic number.

32925978624 is a gapful number since it is divisible by the number (34) 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 32925978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61145487360).

32925978624 is an abundant number, since it is smaller than the sum of its proper divisors (89364996096).

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

32925978624 is a wasteful number, since it uses less digits than its factorization.

32925978624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 32925978624 in words is "thirty-two billion, nine hundred twenty-five million, nine hundred seventy-eight thousand, six hundred twenty-four".