9965844000 has 576 divisors, whose sum is σ = 41064371712. Its totient is φ = 2241792000.

The previous prime is 9965843999. The next prime is 9965844089. The reversal of 9965844000 is 4485699.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17891722 + ... + 17892278.

It is an arithmetic number, because the mean of its divisors is an integer number (71292312).

Almost surely, 2^9965844000 is an apocalyptic number.

9965844000 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 9965844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532185856).

9965844000 is an abundant number, since it is smaller than the sum of its proper divisors (31098527712).

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

9965844000 is a wasteful number, since it uses less digits than its factorization.

9965844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9965844000 is about 99829.0739213782. The cubic root of 9965844000 is about 2151.9789963079.

The spelling of 9965844000 in words is "nine billion, nine hundred sixty-five million, eight hundred forty-four thousand".