9257768640 has 560 divisors, whose sum is σ = 35131174848. Its totient is φ = 2308939776.

The previous prime is 9257768627. The next prime is 9257768671. The reversal of 9257768640 is 468677529.

9257768640 is a `hidden beast` number, since 9 + 2 + 577 + 6 + 8 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31596334 + ... + 31596626.

Almost surely, 2^9257768640 is an apocalyptic number.

9257768640 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 9257768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565587424).

9257768640 is an abundant number, since it is smaller than the sum of its proper divisors (25873406208).

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

9257768640 is a wasteful number, since it uses less digits than its factorization.

9257768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 9257768640 is about 96217.2990683068. The cubic root of 9257768640 is about 2099.7557266891.

The spelling of 9257768640 in words is "nine billion, two hundred fifty-seven million, seven hundred sixty-eight thousand, six hundred forty".