68209768900 has 405 divisors, whose sum is σ = 191650170453. Its totient is φ = 21060748800.

The previous prime is 68209768897. The next prime is 68209768909. The reversal of 68209768900 is 986790286.

The square root of 68209768900 is 261170.

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 61814887876 + 6394881024 = 248626^2 + 79968^2 .

It is not an unprimeable number, because it can be changed into a prime (68209768909) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1663652880 + ... + 1663652920.

Almost surely, 2^68209768900 is an apocalyptic number.

68209768900 is the 261170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68209768900

68209768900 is an abundant number, since it is smaller than the sum of its proper divisors (123440401553).

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

68209768900 is a wasteful number, since it uses less digits than its factorization.

68209768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 68209768900 in words is "sixty-eight billion, two hundred nine million, seven hundred sixty-eight thousand, nine hundred".