9998909464320 has 2880 divisors, whose sum is σ = 45356546543616. Its totient is φ = 2051171942400.

The previous prime is 9998909464301. The next prime is 9998909464331. The reversal of 9998909464320 is 234649098999.

9998909464320 is a `hidden beast` number, since 99 + 98 + 90 + 9 + 46 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 24934936120 + ... + 24934936520.

Almost surely, 2^{9998909464320} is an apocalyptic number.

9998909464320 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 9998909464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678273271808).

9998909464320 is an abundant number, since it is smaller than the sum of its proper divisors (35357637079296).

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

9998909464320 is a wasteful number, since it uses less digits than its factorization.

9998909464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 9998909464320 in words is "nine trillion, nine hundred ninety-eight billion, nine hundred nine million, four hundred sixty-four thousand, three hundred twenty".