9788064000 has 1152 divisors, whose sum is σ = 41141108736. Its totient is φ = 2027520000.

The previous prime is 9788063993. The next prime is 9788064017. The reversal of 9788064000 is 4608879.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315743985 + ... + 315744015.

It is an arithmetic number, because the mean of its divisors is an integer number (35712768).

Almost surely, 2^9788064000 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 9788064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570554368).

9788064000 is an abundant number, since it is smaller than the sum of its proper divisors (31353044736).

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

9788064000 is a wasteful number, since it uses less digits than its factorization.

9788064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 9788064000 is about 98934.6450946280. The cubic root of 9788064000 is about 2139.1058074511.

The spelling of 9788064000 in words is "nine billion, seven hundred eighty-eight million, sixty-four thousand".