9967813819200 has 672 divisors, whose sum is σ = 36818912188800. Its totient is φ = 2622864752640.

The previous prime is 9967813819199. The next prime is 9967813819211. The reversal of 9967813819200 is 29183187699.

9967813819200 is a `hidden beast` number, since 9 + 96 + 7 + 81 + 381 + 92 + 0 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5052109414 + ... + 5052111386.

It is an arithmetic number, because the mean of its divisors is an integer number (54790047900).

Almost surely, 2^{9967813819200} is an apocalyptic number.

9967813819200 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 9967813819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18409456094400).

9967813819200 is an abundant number, since it is smaller than the sum of its proper divisors (26851098369600).

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

9967813819200 is a wasteful number, since it uses less digits than its factorization.

9967813819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 9967813819200 in words is "nine trillion, nine hundred sixty-seven billion, eight hundred thirteen million, eight hundred nineteen thousand, two hundred".