9256705920 has 768 divisors, whose sum is σ = 41381383680. Its totient is φ = 1920983040.

The previous prime is 9256705919. The next prime is 9256705961. The reversal of 9256705920 is 295076529.

9256705920 is a `hidden beast` number, since 9 + 2 + 56 + 7 + 0 + 592 + 0 = 666.

9256705920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974654 + ... + 11975426.

It is an arithmetic number, because the mean of its divisors is an integer number (53882010).

Almost surely, 2^9256705920 is an apocalyptic number.

9256705920 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 9256705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690691840).

9256705920 is an abundant number, since it is smaller than the sum of its proper divisors (32124677760).

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

9256705920 is a wasteful number, since it uses less digits than its factorization.

9256705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9256705920 is about 96211.7764101672. The cubic root of 9256705920 is about 2099.6753783934.

The spelling of 9256705920 in words is "nine billion, two hundred fifty-six million, seven hundred five thousand, nine hundred twenty".