68818462200 has 288 divisors, whose sum is σ = 237494799360. Its totient is φ = 17849913600.

The previous prime is 68818462129. The next prime is 68818462211. The reversal of 68818462200 is 226481886.

68818462200 is a `hidden beast` number, since 6 + 8 + 8 + 18 + 4 + 622 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 14125765 + ... + 14130635.

It is an arithmetic number, because the mean of its divisors is an integer number (824634720).

Almost surely, 2^68818462200 is an apocalyptic number.

68818462200 is a gapful number since it is divisible by the number (60) 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 68818462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118747399680).

68818462200 is an abundant number, since it is smaller than the sum of its proper divisors (168676337160).

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

68818462200 is a wasteful number, since it uses less digits than its factorization.

68818462200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 68818462200 in words is "sixty-eight billion, eight hundred eighteen million, four hundred sixty-two thousand, two hundred".