9329025868800 has 1056 divisors, whose sum is σ = 34993784004480. Its totient is φ = 2171181465600.

The previous prime is 9329025868781. The next prime is 9329025868807. The reversal of 9329025868800 is 88685209239.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (9329025868807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4728344614 + ... + 4728346586.

Almost surely, 2^{9329025868800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9329025868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496892002240).

9329025868800 is an abundant number, since it is smaller than the sum of its proper divisors (25664758135680).

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

9329025868800 is a wasteful number, since it uses less digits than its factorization.

9329025868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 9329025868800 in words is "nine trillion, three hundred twenty-nine billion, twenty-five million, eight hundred sixty-eight thousand, eight hundred".