32736790944 has 576 divisors, whose sum is σ = 113219503488. Its totient is φ = 8841830400.

The previous prime is 32736790909. The next prime is 32736790963. The reversal of 32736790944 is 44909763723.

It is a super-2 number, since 2×32736790944² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208514514 + ... + 208514670.

It is an arithmetic number, because the mean of its divisors is an integer number (196561638).

Almost surely, 2^32736790944 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 32736790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609751744).

32736790944 is an abundant number, since it is smaller than the sum of its proper divisors (80482712544).

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

32736790944 is a wasteful number, since it uses less digits than its factorization.

32736790944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 32736790944 in words is "thirty-two billion, seven hundred thirty-six million, seven hundred ninety thousand, nine hundred forty-four".