9793680960 has 672 divisors, whose sum is σ = 39453360768. Its totient is φ = 2043740160.

The previous prime is 9793680937. The next prime is 9793680971. The reversal of 9793680960 is 690863979.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 9793680960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29587995 + ... + 29588325.

Almost surely, 2^9793680960 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 9793680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19726680384).

9793680960 is an abundant number, since it is smaller than the sum of its proper divisors (29659679808).

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

9793680960 is a wasteful number, since it uses less digits than its factorization.

9793680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The square root of 9793680960 is about 98963.0282479270. The cubic root of 9793680960 is about 2139.5149102841.

The spelling of 9793680960 in words is "nine billion, seven hundred ninety-three million, six hundred eighty thousand, nine hundred sixty".