9784998720000 has 3200 divisors, whose sum is σ = 45357576929280. Its totient is φ = 2030469120000.

The previous prime is 9784998719987. The next prime is 9784998720041. The reversal of 9784998720000 is 278994879.

9784998720000 is a `hidden beast` number, since 9 + 78 + 499 + 8 + 72 + 0 + 0 + 0 + 0 = 666.

9784998720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9784998720000.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31872959847 + ... + 31872960153.

Almost surely, 2^{9784998720000} is an apocalyptic number.

9784998720000 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 9784998720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678788464640).

9784998720000 is an abundant number, since it is smaller than the sum of its proper divisors (35572578209280).

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

9784998720000 is a wasteful number, since it uses less digits than its factorization.

9784998720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 9784998720000 in words is "nine trillion, seven hundred eighty-four billion, nine hundred ninety-eight million, seven hundred twenty thousand".