9668072960 has 320 divisors, whose sum is σ = 29170132992. Its totient is φ = 2991292416.

The previous prime is 9668072957. The next prime is 9668072971. The reversal of 9668072960 is 692708669.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10948679 + ... + 10949561.

Almost surely, 2^9668072960 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 9668072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585066496).

9668072960 is an abundant number, since it is smaller than the sum of its proper divisors (19502060032).

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

9668072960 is a wasteful number, since it uses less digits than its factorization.

9668072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The square root of 9668072960 is about 98326.3594363180. The cubic root of 9668072960 is about 2130.3288052138.

The spelling of 9668072960 in words is "nine billion, six hundred sixty-eight million, seventy-two thousand, nine hundred sixty".