9998318400 has 672 divisors, whose sum is σ = 40153620480. Its totient is φ = 2128896000.

The previous prime is 9998318387. The next prime is 9998318423. The reversal of 9998318400 is 48138999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30206235 + ... + 30206565.

Almost surely, 2^9998318400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076810240).

9998318400 is an abundant number, since it is smaller than the sum of its proper divisors (30155302080).

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

9998318400 is a wasteful number, since it uses less digits than its factorization.

9998318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 9998318400 is about 99991.5916464980. The cubic root of 9998318400 is about 2154.3139200162.

The spelling of 9998318400 in words is "nine billion, nine hundred ninety-eight million, three hundred eighteen thousand, four hundred".