32800536800 has 72 divisors (see below), whose sum is σ = 80554125456. Its totient is φ = 13041597440.

The previous prime is 32800536799. The next prime is 32800536803. The reversal of 32800536800 is 863500823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32800536803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10844 + ... + 256356.

It is an arithmetic number, because the mean of its divisors is an integer number (1118807298).

Almost surely, 2^32800536800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32800536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40277062728).

32800536800 is an abundant number, since it is smaller than the sum of its proper divisors (47753588656).

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

32800536800 is a wasteful number, since it uses less digits than its factorization.

32800536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245700 (or 245687 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 32800536800 in words is "thirty-two billion, eight hundred million, five hundred thirty-six thousand, eight hundred".