9984643891200 has 2448 divisors, whose sum is σ = 43110237553920. Its totient is φ = 2246049792000.

The previous prime is 9984643891151. The next prime is 9984643891207. The reversal of 9984643891200 is 21983464899.

9984643891200 is a `hidden beast` number, since 9 + 9 + 8 + 46 + 4 + 389 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2448).

It is a super-2 number, since 2×9984643891200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984643891207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 140628787165 + ... + 140628787235.

Almost surely, 2^{9984643891200} is an apocalyptic number.

9984643891200 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 9984643891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555118776960).

9984643891200 is an abundant number, since it is smaller than the sum of its proper divisors (33125593662720).

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

9984643891200 is a wasteful number, since it uses less digits than its factorization.

9984643891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 9984643891200 in words is "nine trillion, nine hundred eighty-four billion, six hundred forty-three million, eight hundred ninety-one thousand, two hundred".