9840960000 has 800 divisors, whose sum is σ = 39117228480. Its totient is φ = 2433024000.

The previous prime is 9840959971. The next prime is 9840960001. The reversal of 9840960000 is 690489.

9840960000 is a `hidden beast` number, since 9 + 8 + 40 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is not an unprimeable number, because it can be changed into a prime (9840960001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146879967 + ... + 146880033.

Almost surely, 2^9840960000 is an apocalyptic number.

9840960000 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 9840960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19558614240).

9840960000 is an abundant number, since it is smaller than the sum of its proper divisors (29276268480).

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

9840960000 is an equidigital number, since it uses as much as digits as its factorization.

9840960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9840960000 is about 99201.6128901138. The cubic root of 9840960000 is about 2142.9522243525.

The spelling of 9840960000 in words is "nine billion, eight hundred forty million, nine hundred sixty thousand".