9996757760 has 144 divisors (see below), whose sum is σ = 26760881952. Its totient is φ = 3546316800.

The previous prime is 9996757759. The next prime is 9996757817. The reversal of 9996757760 is 677576999.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568622 + ... + 585938.

It is an arithmetic number, because the mean of its divisors is an integer number (185839458).

Almost surely, 2^9996757760 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 9996757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380440976).

9996757760 is an abundant number, since it is smaller than the sum of its proper divisors (16764124192).

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

9996757760 is a wasteful number, since it uses less digits than its factorization.

9996757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17390 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 65.

The square root of 9996757760 is about 99983.7874857719. The cubic root of 9996757760 is about 2154.2018250523.

The spelling of 9996757760 in words is "nine billion, nine hundred ninety-six million, seven hundred fifty-seven thousand, seven hundred sixty".