9253768320 has 256 divisors, whose sum is σ = 33314832000. Its totient is φ = 2426941440.

The previous prime is 9253768309. The next prime is 9253768331. The reversal of 9253768320 is 238673529.

9253768320 is a `hidden beast` number, since 9 + 253 + 76 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (9253768309) and next prime (9253768331).

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 31 ways as a sum of consecutive naturals, for example, 1049691 + ... + 1058469.

Almost surely, 2^9253768320 is an apocalyptic number.

9253768320 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 9253768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657416000).

9253768320 is an abundant number, since it is smaller than the sum of its proper divisors (24061063680).

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

9253768320 is a wasteful number, since it uses less digits than its factorization.

9253768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9253768320 is about 96196.5088763620. The cubic root of 9253768320 is about 2099.4532454148.

The spelling of 9253768320 in words is "nine billion, two hundred fifty-three million, seven hundred sixty-eight thousand, three hundred twenty".