32741100864 has 126 divisors (see below), whose sum is σ = 96973053450. Its totient is φ = 10561466880.

The previous prime is 32741100851. The next prime is 32741100869. The reversal of 32741100864 is 46800114723.

It can be written as a sum of positive squares in only one way, i.e., 32685747264 + 55353600 = 180792^2 + 7440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32741100869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 523962 + ... + 583110.

Almost surely, 2^32741100864 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 32741100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48486526725).

32741100864 is an abundant number, since it is smaller than the sum of its proper divisors (64231952586).

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

32741100864 is a wasteful number, since it uses less digits than its factorization.

32741100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59229 (or 59185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 32741100864 in words is "thirty-two billion, seven hundred forty-one million, one hundred thousand, eight hundred sixty-four".