9245664000 has 864 divisors, whose sum is σ = 36560946240. Its totient is φ = 2322432000.

The previous prime is 9245663969. The next prime is 9245664017. The reversal of 9245664000 is 4665429.

9245664000 is a `hidden beast` number, since 9 + 2 + 4 + 5 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225503980 + ... + 225504020.

It is an arithmetic number, because the mean of its divisors is an integer number (42315910).

Almost surely, 2^9245664000 is an apocalyptic number.

9245664000 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 9245664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280473120).

9245664000 is an abundant number, since it is smaller than the sum of its proper divisors (27315282240).

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

9245664000 is an equidigital number, since it uses as much as digits as its factorization.

9245664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9245664000 is about 96154.3758754639. The cubic root of 9245664000 is about 2098.8401758768.

The spelling of 9245664000 in words is "nine billion, two hundred forty-five million, six hundred sixty-four thousand".