68537983040289 has 297 divisors, whose sum is σ = 124365438493011. Its totient is φ = 37659779932320.

The previous prime is 68537983040201. The next prime is 68537983040347. The reversal of 68537983040289 is 98204038973586.

The square root of 68537983040289 is 8278767.

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

68537983040289 is a `hidden beast` number, since 6 + 8 + 5 + 37 + 9 + 8 + 304 + 0 + 289 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20089534158225 + 48448448882064 = 4482135^2 + 6960492^2 .

It is not a de Polignac number, because 68537983040289 - 2⁹ = 68537983039777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68537983045289) by changing a digit.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 436547662599 + ... + 436547662755.

Almost surely, 2^{68537983040289} is an apocalyptic number.

68537983040289 is the 8278767-th square number.

68537983040289 is the 4139384-th centered octagonal number.

It is an amenable number.

68537983040289 is a deficient number, since it is larger than the sum of its proper divisors (55827455452722).

68537983040289 is an frugal number, since it uses more digits than its factorization.

68537983040289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 68537983040289 in words is "sixty-eight trillion, five hundred thirty-seven billion, nine hundred eighty-three million, forty thousand, two hundred eighty-nine".