9000827433664 has 84 divisors (see below), whose sum is σ = 19634019890632. Its totient is φ = 4090938762240.

The previous prime is 9000827433593. The next prime is 9000827433667. The reversal of 9000827433664 is 4663347280009.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9000827433667) 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, 106228564 + ... + 106313260.

Almost surely, 2^{9000827433664} 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 9000827433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817009945316).

9000827433664 is an abundant number, since it is smaller than the sum of its proper divisors (10633192456968).

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

9000827433664 is a wasteful number, since it uses less digits than its factorization.

9000827433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98454 (or 98433 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 9000827433664 in words is "nine trillion, eight hundred twenty-seven million, four hundred thirty-three thousand, six hundred sixty-four".