18068635200 has 1344 divisors, whose sum is σ = 81274798080. Its totient is φ = 3400704000.

The previous prime is 18068635199. The next prime is 18068635213. The reversal of 18068635200 is 253686081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 217694359 + ... + 217694441.

It is an arithmetic number, because the mean of its divisors is an integer number (60472320).

Almost surely, 2^18068635200 is an apocalyptic number.

18068635200 is a gapful number since it is divisible by the number (10) 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 18068635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40637399040).

18068635200 is an abundant number, since it is smaller than the sum of its proper divisors (63206162880).

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

18068635200 is a wasteful number, since it uses less digits than its factorization.

18068635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 18068635200 in words is "eighteen billion, sixty-eight million, six hundred thirty-five thousand, two hundred".