68087362200 has 288 divisors, whose sum is σ = 249337880640. Its totient is φ = 15236083200.

The previous prime is 68087362177. The next prime is 68087362237. The reversal of 68087362200 is 226378086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1084879 + ... + 1145921.

It is an arithmetic number, because the mean of its divisors is an integer number (865756530).

Almost surely, 2^68087362200 is an apocalyptic number.

68087362200 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 68087362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124668940320).

68087362200 is an abundant number, since it is smaller than the sum of its proper divisors (181250518440).

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

68087362200 is a wasteful number, since it uses less digits than its factorization.

68087362200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61099 (or 61077 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 68087362200 in words is "sixty-eight billion, eighty-seven million, three hundred sixty-two thousand, two hundred".