68727865600 has 243 divisors, whose sum is σ = 177753334213. Its totient is φ = 26308280320.

The previous prime is 68727865589. The next prime is 68727865621. The reversal of 68727865600 is 656872786.

The square root of 68727865600 is 262160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 68711088384 + 16777216 = 262128^2 + 4096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 608211144 + ... + 608211256.

Almost surely, 2^68727865600 is an apocalyptic number.

68727865600 is the 262160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68727865600

68727865600 is an abundant number, since it is smaller than the sum of its proper divisors (109025468613).

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

68727865600 is an equidigital number, since it uses as much as digits as its factorization.

68727865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 68727865600 in words is "sixty-eight billion, seven hundred twenty-seven million, eight hundred sixty-five thousand, six hundred".