9256036608000 has 2304 divisors, whose sum is σ = 41498319582720. Its totient is φ = 1932263424000.

The previous prime is 9256036607963. The next prime is 9256036608023. The reversal of 9256036608000 is 8066306529.

It is a happy number.

9256036608000 is a `hidden beast` number, since 9 + 2 + 5 + 6 + 0 + 36 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×9256036608000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27465983832 + ... + 27465984168.

It is an arithmetic number, because the mean of its divisors is an integer number (18011423430).

Almost surely, 2^{9256036608000} is an apocalyptic number.

9256036608000 is a gapful number since it is divisible by the number (90) 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 9256036608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20749159791360).

9256036608000 is an abundant number, since it is smaller than the sum of its proper divisors (32242282974720).

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

9256036608000 is a wasteful number, since it uses less digits than its factorization.

9256036608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 9256036608000 in words is "nine trillion, two hundred fifty-six billion, thirty-six million, six hundred eight thousand".