32800107664 has 45 divisors (see below), whose sum is σ = 67099153203. Its totient is φ = 15530373216.

The previous prime is 32800107623. The next prime is 32800107667. The reversal of 32800107664 is 46670100823.

The square root of 32800107664 is 181108.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32800107667) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13763017 + ... + 13765399.

Almost surely, 2^32800107664 is an apocalyptic number.

32800107664 is the 181108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32800107664

32800107664 is an abundant number, since it is smaller than the sum of its proper divisors (34299045539).

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

32800107664 is an frugal number, since it uses more digits than its factorization.

32800107664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 32800107664 in words is "thirty-two billion, eight hundred million, one hundred seven thousand, six hundred sixty-four".