9268645785600 has 1248 divisors, whose sum is σ = 33168501722880. Its totient is φ = 2276531896320.

The previous prime is 9268645785517. The next prime is 9268645785601. The reversal of 9268645785600 is 65875468629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9268645785601) 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, 53575987114 + ... + 53575987286.

Almost surely, 2^{9268645785600} 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 9268645785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584250861440).

9268645785600 is an abundant number, since it is smaller than the sum of its proper divisors (23899855937280).

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

9268645785600 is a wasteful number, since it uses less digits than its factorization.

9268645785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 9268645785600 in words is "nine trillion, two hundred sixty-eight billion, six hundred forty-five million, seven hundred eighty-five thousand, six hundred".