9730085568 has 224 divisors, whose sum is σ = 31422197760. Its totient is φ = 2597253120.

The previous prime is 9730085503. The next prime is 9730085579. The reversal of 9730085568 is 8655800379.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 9730085568.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204230 + ... + 1212282.

Almost surely, 2^9730085568 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 9730085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15711098880).

9730085568 is an abundant number, since it is smaller than the sum of its proper divisors (21692112192).

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

9730085568 is a wasteful number, since it uses less digits than its factorization.

9730085568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 9730085568 is about 98641.1960998041. The cubic root of 9730085568 is about 2134.8738610674.

The spelling of 9730085568 in words is "nine billion, seven hundred thirty million, eighty-five thousand, five hundred sixty-eight".