66753665390473 has 2 divisors, whose sum is σ = 66753665390474. Its totient is φ = 66753665390472.

The previous prime is 66753665390453. The next prime is 66753665390491. The reversal of 66753665390473 is 37409356635766.

66753665390473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66374065232784 + 379600157689 = 8147028^2 + 616117^2 .

It is a cyclic number.

It is not a de Polignac number, because 66753665390473 - 2¹⁷ = 66753665259401 is a prime.

It is a super-3 number, since 3×66753665390473³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (66753665390453) 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, 33376832695236 + 33376832695237.

It is an arithmetic number, because the mean of its divisors is an integer number (33376832695237).

Almost surely, 2^{66753665390473} is an apocalyptic number.

It is an amenable number.

66753665390473 is a deficient number, since it is larger than the sum of its proper divisors (1).

66753665390473 is an equidigital number, since it uses as much as digits as its factorization.

66753665390473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1543147200, while the sum is 70.

The spelling of 66753665390473 in words is "sixty-six trillion, seven hundred fifty-three billion, six hundred sixty-five million, three hundred ninety thousand, four hundred seventy-three".