68566305600 has 420 divisors, whose sum is σ = 271426276044. Its totient is φ = 16877445120.

The previous prime is 68566305589. The next prime is 68566305677. The reversal of 68566305600 is 650366586.

68566305600 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 6 + 30 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 27399518784 + 41166786816 = 165528^2 + 202896^2 .

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1664452 + ... + 1705148.

Almost surely, 2^68566305600 is an apocalyptic number.

68566305600 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 68566305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135713138022).

68566305600 is an abundant number, since it is smaller than the sum of its proper divisors (202859970444).

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

68566305600 is a wasteful number, since it uses less digits than its factorization.

68566305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40744 (or 40720 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 68566305600 in words is "sixty-eight billion, five hundred sixty-six million, three hundred five thousand, six hundred".