9607920000 has 960 divisors, whose sum is σ = 39958459200. Its totient is φ = 2032128000.

The previous prime is 9607919983. The next prime is 9607920013. The reversal of 9607920000 is 297069.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 223439979 + ... + 223440021.

It is an arithmetic number, because the mean of its divisors is an integer number (41623395).

Almost surely, 2^9607920000 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 9607920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19979229600).

9607920000 is an abundant number, since it is smaller than the sum of its proper divisors (30350539200).

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

9607920000 is a wasteful number, since it uses less digits than its factorization.

9607920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 9607920000 is about 98019.9979596001. The cubic root of 9607920000 is about 2125.9014399248.

The spelling of 9607920000 in words is "nine billion, six hundred seven million, nine hundred twenty thousand".