9729116160 has 96 divisors (see below), whose sum is σ = 31125669120. Its totient is φ = 2594422784.

The previous prime is 9729116143. The next prime is 9729116191. The reversal of 9729116160 is 616119279.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127632 + ... + 189071.

It is an arithmetic number, because the mean of its divisors is an integer number (324225720).

Almost surely, 2^9729116160 is an apocalyptic number.

It is an amenable number.

9729116160 is an abundant number, since it is smaller than the sum of its proper divisors (21396552960).

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

9729116160 is a wasteful number, since it uses less digits than its factorization.

9729116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316733 (or 316713 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 9729116160 is about 98636.2821683786. The cubic root of 9729116160 is about 2134.8029595829.

The spelling of 9729116160 in words is "nine billion, seven hundred twenty-nine million, one hundred sixteen thousand, one hundred sixty".