9647904000 has 576 divisors, whose sum is σ = 37498406400. Its totient is φ = 2197708800.

The previous prime is 9647903987. The next prime is 9647904043. The reversal of 9647904000 is 4097469.

It is a self number, because there is not a number n which added to its sum of digits gives 9647904000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32927854 + ... + 32928146.

It is an arithmetic number, because the mean of its divisors is an integer number (65101400).

Almost surely, 2^9647904000 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 9647904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749203200).

9647904000 is an abundant number, since it is smaller than the sum of its proper divisors (27850502400).

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

9647904000 is an equidigital number, since it uses as much as digits as its factorization.

9647904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 9647904000 is about 98223.7445834764. The cubic root of 9647904000 is about 2128.8463853845.

The spelling of 9647904000 in words is "nine billion, six hundred forty-seven million, nine hundred four thousand".