66736733706737 has 8 divisors (see below), whose sum is σ = 67343541419976. Its totient is φ = 66132616937472.

The previous prime is 66736733706677. The next prime is 66736733706743. The reversal of 66736733706737 is 73760733763766.

It can be written as a sum of positive squares in 4 ways, for example, as 38040473948416 + 28696259758321 = 6167696^2 + 5356889^2 .

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 66736733706737 - 2³⁸ = 66461855799793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66736733706037) 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, 672686168 + ... + 672785369.

It is an arithmetic number, because the mean of its divisors is an integer number (8417942677497).

Almost surely, 2^{66736733706737} is an apocalyptic number.

It is an amenable number.

66736733706737 is a deficient number, since it is larger than the sum of its proper divisors (606807713239).

66736733706737 is a wasteful number, since it uses less digits than its factorization.

66736733706737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345471987.

The product of its (nonzero) digits is 1764331632, while the sum is 71.

The spelling of 66736733706737 in words is "sixty-six trillion, seven hundred thirty-six billion, seven hundred thirty-three million, seven hundred six thousand, seven hundred thirty-seven".