68679877102200 has 1152 divisors, whose sum is σ = 299170326873600. Its totient is φ = 13711832616960.

The previous prime is 68679877102157. The next prime is 68679877102211. The reversal of 68679877102200 is 220177897686.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2729386819 + ... + 2729411981.

It is an arithmetic number, because the mean of its divisors is an integer number (259696464300).

Almost surely, 2^{68679877102200} is an apocalyptic number.

68679877102200 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 68679877102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149585163436800).

68679877102200 is an abundant number, since it is smaller than the sum of its proper divisors (230490449771400).

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

68679877102200 is a wasteful number, since it uses less digits than its factorization.

68679877102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26101 (or 26089 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 68679877102200 in words is "sixty-eight trillion, six hundred seventy-nine billion, eight hundred seventy-seven million, one hundred two thousand, two hundred".