66931975712641 has 8 divisors (see below), whose sum is σ = 72088416547560. Its totient is φ = 61776653066112.

The previous prime is 66931975712611. The next prime is 66931975712669. The reversal of 66931975712641 is 14621757913966.

It can be written as a sum of positive squares in 4 ways, for example, as 3743451040000 + 63188524672641 = 1934800^2 + 7949121^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66931975712641 - 2¹⁵ = 66931975679873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66931975712611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279422770 + ... + 279662203.

It is an arithmetic number, because the mean of its divisors is an integer number (9011052068445).

Almost surely, 2^{66931975712641} is an apocalyptic number.

It is an amenable number.

66931975712641 is a deficient number, since it is larger than the sum of its proper divisors (5156440834919).

66931975712641 is a wasteful number, since it uses less digits than its factorization.

66931975712641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559094195.

The product of its digits is 102876480, while the sum is 67.

The spelling of 66931975712641 in words is "sixty-six trillion, nine hundred thirty-one billion, nine hundred seventy-five million, seven hundred twelve thousand, six hundred forty-one".