9978486336000 has 5120 divisors, whose sum is σ = 49417637068800. Its totient is φ = 1926955008000.

The previous prime is 9978486335989. The next prime is 9978486336019. The reversal of 9978486336000 is 6336848799.

9978486336000 is a `hidden beast` number, since 9 + 97 + 8 + 486 + 3 + 3 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 112117823956 + ... + 112117824044.

It is an arithmetic number, because the mean of its divisors is an integer number (9651882240).

Almost surely, 2^{9978486336000} is an apocalyptic number.

9978486336000 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 9978486336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24708818534400).

9978486336000 is an abundant number, since it is smaller than the sum of its proper divisors (39439150732800).

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

9978486336000 is a wasteful number, since it uses less digits than its factorization.

9978486336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 9978486336000 in words is "nine trillion, nine hundred seventy-eight billion, four hundred eighty-six million, three hundred thirty-six thousand".