66075311577637 has 2 divisors, whose sum is σ = 66075311577638. Its totient is φ = 66075311577636.

The previous prime is 66075311577631. The next prime is 66075311577719. The reversal of 66075311577637 is 73677511357066.

66075311577637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64658340363681 + 1416971213956 = 8041041^2 + 1190366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66075311577637 is a prime.

It is a super-3 number, since 3×66075311577637³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66075311577631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33037655788818 + 33037655788819.

It is an arithmetic number, because the mean of its divisors is an integer number (33037655788819).

Almost surely, 2^{66075311577637} is an apocalyptic number.

It is an amenable number.

66075311577637 is a deficient number, since it is larger than the sum of its proper divisors (1).

66075311577637 is an equidigital number, since it uses as much as digits as its factorization.

66075311577637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116688600, while the sum is 64.

The spelling of 66075311577637 in words is "sixty-six trillion, seventy-five billion, three hundred eleven million, five hundred seventy-seven thousand, six hundred thirty-seven".