9792706560 has 768 divisors, whose sum is σ = 40154849280. Its totient is φ = 1981808640.

The previous prime is 9792706513. The next prime is 9792706589. The reversal of 9792706560 is 656072979.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86661064 + ... + 86661176.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 2^9792706560 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 9792706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077424640).

9792706560 is an abundant number, since it is smaller than the sum of its proper divisors (30362142720).

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

9792706560 is a wasteful number, since it uses less digits than its factorization.

9792706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 9792706560 is about 98958.1050748245. The cubic root of 9792706560 is about 2139.4439525417.

The spelling of 9792706560 in words is "nine billion, seven hundred ninety-two million, seven hundred six thousand, five hundred sixty".