9986682240 has 512 divisors, whose sum is σ = 37068595200. Its totient is φ = 2538086400.

The previous prime is 9986682203. The next prime is 9986682241. The reversal of 9986682240 is 422866899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9986682241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55174950 + ... + 55175130.

It is an arithmetic number, because the mean of its divisors is an integer number (72399600).

Almost surely, 2^9986682240 is an apocalyptic number.

9986682240 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 9986682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534297600).

9986682240 is an abundant number, since it is smaller than the sum of its proper divisors (27081912960).

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

9986682240 is a wasteful number, since it uses less digits than its factorization.

9986682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9986682240 is about 99933.3890148833. The cubic root of 9986682240 is about 2153.4778570058.

It can be divided in two parts, 99866 and 82240, that added together give a triangular number (182106 = T₆₀₃).

The spelling of 9986682240 in words is "nine billion, nine hundred eighty-six million, six hundred eighty-two thousand, two hundred forty".