68727873600 has 336 divisors, whose sum is σ = 256655864640. Its totient is φ = 17879961600.

The previous prime is 68727873587. The next prime is 68727873707. The reversal of 68727873600 is 637872786.

68727873600 is a `hidden beast` number, since 6 + 8 + 7 + 27 + 8 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1751799 + ... + 1790601.

It is an arithmetic number, because the mean of its divisors is an integer number (763856740).

Almost surely, 2^68727873600 is an apocalyptic number.

68727873600 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 68727873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128327932320).

68727873600 is an abundant number, since it is smaller than the sum of its proper divisors (187927991040).

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

68727873600 is a wasteful number, since it uses less digits than its factorization.

68727873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38875 (or 38854 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 68727873600 in words is "sixty-eight billion, seven hundred twenty-seven million, eight hundred seventy-three thousand, six hundred".