68089683600 has 135 divisors (see below), whose sum is σ = 236344460443. Its totient is φ = 18153073920.

The previous prime is 68089683593. The next prime is 68089683637. The reversal of 68089683600 is 638698086.

The square root of 68089683600 is 260940.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33475825296 + 34613858304 = 182964^2 + 186048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15654226 + ... + 15658574.

Almost surely, 2^68089683600 is an apocalyptic number.

68089683600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68089683600 is the 260940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68089683600

68089683600 is an abundant number, since it is smaller than the sum of its proper divisors (168254776843).

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

68089683600 is an equidigital number, since it uses as much as digits as its factorization.

68089683600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 68089 and 683600, that added together give a square (751689 = 867²).

The spelling of 68089683600 in words is "sixty-eight billion, eighty-nine million, six hundred eighty-three thousand, six hundred".