9986549760 has 288 divisors, whose sum is σ = 37761927840. Its totient is φ = 2420736000.

The previous prime is 9986549747. The next prime is 9986549789. The reversal of 9986549760 is 679456899.

It is a happy number.

9986549760 is a `hidden beast` number, since 9 + 9 + 86 + 5 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9986549760² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1008835 + ... + 1018685.

It is an arithmetic number, because the mean of its divisors is an integer number (131117805).

Almost surely, 2^9986549760 is an apocalyptic number.

9986549760 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 9986549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880963920).

9986549760 is an abundant number, since it is smaller than the sum of its proper divisors (27775378080).

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

9986549760 is a wasteful number, since it uses less digits than its factorization.

9986549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9895 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The square root of 9986549760 is about 99932.7261711598. The cubic root of 9986549760 is about 2153.4683345237.

The spelling of 9986549760 in words is "nine billion, nine hundred eighty-six million, five hundred forty-nine thousand, seven hundred sixty".