9600769920 has 768 divisors, whose sum is σ = 38679379200. Its totient is φ = 2012774400.

The previous prime is 9600769909. The next prime is 9600769933. The reversal of 9600769920 is 299670069.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9600769920.

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, 73288255 + ... + 73288385.

It is an arithmetic number, because the mean of its divisors is an integer number (50363775).

Almost surely, 2^9600769920 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 9600769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339689600).

9600769920 is an abundant number, since it is smaller than the sum of its proper divisors (29078609280).

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

9600769920 is a wasteful number, since it uses less digits than its factorization.

9600769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 9600769920 is about 97983.5186141016. The cubic root of 9600769920 is about 2125.3739536579.

The spelling of 9600769920 in words is "nine billion, six hundred million, seven hundred sixty-nine thousand, nine hundred twenty".