9998362800 has 180 divisors, whose sum is σ = 34751028520. Its totient is φ = 2662087680.

The previous prime is 9998362727. The next prime is 9998362819. The reversal of 9998362800 is 82638999.

9998362800 is a `hidden beast` number, since 9 + 9 + 9 + 8 + 3 + 628 + 0 + 0 = 666.

9998362800 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 (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2831436 + ... + 2834964.

Almost surely, 2^9998362800 is an apocalyptic number.

9998362800 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 9998362800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375514260).

9998362800 is an abundant number, since it is smaller than the sum of its proper divisors (24752665720).

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

9998362800 is a wasteful number, since it uses less digits than its factorization.

9998362800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9998362800 is about 99991.8136649196. The cubic root of 9998362800 is about 2154.3171089324.

The spelling of 9998362800 in words is "nine billion, nine hundred ninety-eight million, three hundred sixty-two thousand, eight hundred".