32768000000 has 154 divisors (see below), whose sum is σ = 81918931893. Its totient is φ = 13107200000.

The previous prime is 32767999997. The next prime is 32768000129. The reversal of 32768000000 is 86723.

The cubic root of 32768000000 is 3200.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5587861504 + 27180138496 = 74752^2 + 164864^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=128000.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 6553599998 + ... + 6553600002.

Almost surely, 2^32768000000 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 32768000000

32768000000 is an abundant number, since it is smaller than the sum of its proper divisors (49150931893).

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

32768000000 is an frugal number, since it uses more digits than its factorization.

32768000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 32768000000 its reverse (86723), we get a palindrome (32768086723).

The spelling of 32768000000 in words is "thirty-two billion, seven hundred sixty-eight million", and thus it is an aban number.