68366842200 has 288 divisors, whose sum is σ = 240322118400. Its totient is φ = 17384590080.

The previous prime is 68366842171. The next prime is 68366842213. The reversal of 68366842200 is 224866386.

68366842200 is a `hidden beast` number, since 6 + 8 + 366 + 84 + 2 + 200 = 666.

It is a super-2 number, since 2×68366842200² (a number of 22 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14363421 + ... + 14368179.

It is an arithmetic number, because the mean of its divisors is an integer number (834451800).

Almost surely, 2^68366842200 is an apocalyptic number.

68366842200 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 68366842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120161059200).

68366842200 is an abundant number, since it is smaller than the sum of its proper divisors (171955276200).

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

68366842200 is a wasteful number, since it uses less digits than its factorization.

68366842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 68366842200 in words is "sixty-eight billion, three hundred sixty-six million, eight hundred forty-two thousand, two hundred".