9579725760 has 672 divisors, whose sum is σ = 36561076992. Its totient is φ = 2105671680.

The previous prime is 9579725737. The next prime is 9579725783. The reversal of 9579725760 is 675279759.

9579725760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9579725737) and next prime (9579725783).

It is a super-2 number, since 2×9579725760² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9579725760.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 131229084 + ... + 131229156.

Almost surely, 2^9579725760 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 9579725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280538496).

9579725760 is an abundant number, since it is smaller than the sum of its proper divisors (26981351232).

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

9579725760 is a wasteful number, since it uses less digits than its factorization.

9579725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 57.

The square root of 9579725760 is about 97876.0734807031. The cubic root of 9579725760 is about 2123.8199314648.

The spelling of 9579725760 in words is "nine billion, five hundred seventy-nine million, seven hundred twenty-five thousand, seven hundred sixty".