9768062304 has 576 divisors, whose sum is σ = 38534565888. Its totient is φ = 2264371200.

The previous prime is 9768062299. The next prime is 9768062347. The reversal of 9768062304 is 4032608679.

It is a self number, because there is not a number n which added to its sum of digits gives 9768062304.

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, 8936382 + ... + 8937474.

It is an arithmetic number, because the mean of its divisors is an integer number (66900288).

Almost surely, 2^9768062304 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 9768062304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267282944).

9768062304 is an abundant number, since it is smaller than the sum of its proper divisors (28766503584).

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

9768062304 is a wasteful number, since it uses less digits than its factorization.

9768062304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9768062304 is about 98833.5080020941. The cubic root of 9768062304 is about 2137.6477417527.

The spelling of 9768062304 in words is "nine billion, seven hundred sixty-eight million, sixty-two thousand, three hundred four".