9568256000 has 168 divisors, whose sum is σ = 24209511144. Its totient is φ = 3774873600.

The previous prime is 9568255901. The next prime is 9568256017. The reversal of 9568256000 is 6528659.

It can be written as a sum of positive squares in 4 ways, for example, as 303038464 + 9265217536 = 17408^2 + 96256^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131071964 + ... + 131072036.

It is an arithmetic number, because the mean of its divisors is an integer number (144104233).

Almost surely, 2^9568256000 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 9568256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12104755572).

9568256000 is an abundant number, since it is smaller than the sum of its proper divisors (14641255144).

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

9568256000 is an frugal number, since it uses more digits than its factorization.

9568256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 9568256000 is about 97817.4626536591. The cubic root of 9568256000 is about 2122.9719797976.

The spelling of 9568256000 in words is "nine billion, five hundred sixty-eight million, two hundred fifty-six thousand".