66968641089 has 27 divisors (see below), whose sum is σ = 112534671873. Its totient is φ = 38264689512.

The previous prime is 66968641079. The next prime is 66968641111. The reversal of 66968641089 is 98014686966.

The square root of 66968641089 is 258783.

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

66968641089 is a `hidden beast` number, since 6 + 69 + 6 + 86 + 410 + 89 = 666.

It is not a de Polignac number, because 66968641089 - 2⁹ = 66968640577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (66968641039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5428282 + ... + 5440604.

Almost surely, 2^66968641089 is an apocalyptic number.

66968641089 is the 258783-rd square number.

66968641089 is the 129392-nd centered octagonal number.

It is an amenable number.

66968641089 is a deficient number, since it is larger than the sum of its proper divisors (45566030784).

66968641089 is an frugal number, since it uses more digits than its factorization.

66968641089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24666 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 66968641089 in words is "sixty-six billion, nine hundred sixty-eight million, six hundred forty-one thousand, eighty-nine".