9986004000 has 1440 divisors, whose sum is σ = 46364061744. Its totient is φ = 2090188800.

The previous prime is 9986003987. The next prime is 9986004029. The reversal of 9986004000 is 4006899.

9986004000 is a `hidden beast` number, since 9 + 9 + 8 + 600 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2773918224 + 7212085776 = 52668^2 + 84924^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 269891982 + ... + 269892018.

Almost surely, 2^9986004000 is an apocalyptic number.

9986004000 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 9986004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182030872).

9986004000 is an abundant number, since it is smaller than the sum of its proper divisors (36378057744).

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

9986004000 is a wasteful number, since it uses less digits than its factorization.

9986004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9986004000 is about 99929.9954968477. The cubic root of 9986004000 is about 2153.4291051496.

The spelling of 9986004000 in words is "nine billion, nine hundred eighty-six million, four thousand".