9256927680 has 1344 divisors, whose sum is σ = 45266457600. Its totient is φ = 1682104320.

The previous prime is 9256927663. The next prime is 9256927697. The reversal of 9256927680 is 867296529.

9256927680 is a `hidden beast` number, since 9 + 2 + 569 + 2 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9256927663) and next prime (9256927697).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 487206711 + ... + 487206729.

It is an arithmetic number, because the mean of its divisors is an integer number (33680400).

Almost surely, 2^9256927680 is an apocalyptic number.

9256927680 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 9256927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22633228800).

9256927680 is an abundant number, since it is smaller than the sum of its proper divisors (36009529920).

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

9256927680 is a wasteful number, since it uses less digits than its factorization.

9256927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9256927680 is about 96212.9288609384. The cubic root of 9256927680 is about 2099.6921453477.

The spelling of 9256927680 in words is "nine billion, two hundred fifty-six million, nine hundred twenty-seven thousand, six hundred eighty".