9032772688000 has 256 divisors, whose sum is σ = 22655021875200. Its totient is φ = 3581480448000.

The previous prime is 9032772687989. The next prime is 9032772688013. The reversal of 9032772688000 is 8862772309.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1102763905 + ... + 1102772095.

It is an arithmetic number, because the mean of its divisors is an integer number (88496179200).

Almost surely, 2^{9032772688000} 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 9032772688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327510937600).

9032772688000 is an abundant number, since it is smaller than the sum of its proper divisors (13622249187200).

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

9032772688000 is a wasteful number, since it uses less digits than its factorization.

9032772688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8816 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 9032772688000 in words is "nine trillion, thirty-two billion, seven hundred seventy-two million, six hundred eighty-eight thousand".