68627756961 has 9 divisors (see below), whose sum is σ = 99130117489. Its totient is φ = 45751314036.

The previous prime is 68627756959. The next prime is 68627757013. The reversal of 68627756961 is 16965772686.

The square root of 68627756961 is 261969.

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

68627756961 is a `hidden beast` number, since 6 + 8 + 6 + 2 + 7 + 7 + 569 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 68627756961 - 2¹ = 68627756959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68627776961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 742246 + ... + 829568.

Almost surely, 2^68627756961 is an apocalyptic number.

68627756961 is the 261969-th square number.

68627756961 is the 130985-th centered octagonal number.

It is an amenable number.

68627756961 is a deficient number, since it is larger than the sum of its proper divisors (30502360528).

68627756961 is an frugal number, since it uses more digits than its factorization.

68627756961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174652 (or 87326 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 68627756961 in words is "sixty-eight billion, six hundred twenty-seven million, seven hundred fifty-six thousand, nine hundred sixty-one".