9936608256 has 440 divisors, whose sum is σ = 32635239120. Its totient is φ = 3009871872.

The previous prime is 9936608249. The next prime is 9936608263. The reversal of 9936608256 is 6528066399.

9936608256 is a `hidden beast` number, since 9 + 9 + 3 + 6 + 608 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (9936608249) and next prime (9936608263).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 6.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342641650 + ... + 342641678.

It is an arithmetic number, because the mean of its divisors is an integer number (74170998).

Almost surely, 2^9936608256 is an apocalyptic number.

9936608256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9936608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317619560).

9936608256 is an abundant number, since it is smaller than the sum of its proper divisors (22698630864).

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

9936608256 is an frugal number, since it uses more digits than its factorization.

9936608256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 9936608256 is about 99682.5373673845. The cubic root of 9936608256 is about 2149.8725906831.

The spelling of 9936608256 in words is "nine billion, nine hundred thirty-six million, six hundred eight thousand, two hundred fifty-six".