9845760000 has 280 divisors, whose sum is σ = 32857875864. Its totient is φ = 2621440000.

The previous prime is 9845759971. The next prime is 9845760007. The reversal of 9845760000 is 675489.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9845760007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15359680 + ... + 15360320.

Almost surely, 2^9845760000 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 9845760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428937932).

9845760000 is an abundant number, since it is smaller than the sum of its proper divisors (23012115864).

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

9845760000 is an frugal number, since it uses more digits than its factorization.

9845760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 9845760000 is about 99225.8030957674. The cubic root of 9845760000 is about 2143.3005812453.

The spelling of 9845760000 in words is "nine billion, eight hundred forty-five million, seven hundred sixty thousand".