32890968576 has 360 divisors, whose sum is σ = 100960475616. Its totient is φ = 10305884160.

The previous prime is 32890968563. The next prime is 32890968577. The reversal of 32890968576 is 67586909823.

It is not an unprimeable number, because it can be changed into a prime (32890968577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 251076031 + ... + 251076161.

Almost surely, 2^32890968576 is an apocalyptic number.

32890968576 is a gapful number since it is divisible by the number (36) 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 32890968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50480237808).

32890968576 is an abundant number, since it is smaller than the sum of its proper divisors (68069507040).

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

32890968576 is a wasteful number, since it uses less digits than its factorization.

32890968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 32890968576 in words is "thirty-two billion, eight hundred ninety million, nine hundred sixty-eight thousand, five hundred seventy-six".