9981027840 has 640 divisors, whose sum is σ = 38692380672. Its totient is φ = 2146959360.

The previous prime is 9981027839. The next prime is 9981027851. The reversal of 9981027840 is 487201899.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9981027840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88327624 + ... + 88327736.

Almost surely, 2^9981027840 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 9981027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346190336).

9981027840 is an abundant number, since it is smaller than the sum of its proper divisors (28711352832).

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

9981027840 is a wasteful number, since it uses less digits than its factorization.

9981027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 9981027840 is about 99905.0941644119. The cubic root of 9981027840 is about 2153.0713514972.

The spelling of 9981027840 in words is "nine billion, nine hundred eighty-one million, twenty-seven thousand, eight hundred forty".