66736740700337 has 2 divisors, whose sum is σ = 66736740700338. Its totient is φ = 66736740700336.

The previous prime is 66736740700309. The next prime is 66736740700339. The reversal of 66736740700337 is 73300704763766.

66736740700337 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., 64083243050401 + 2653497649936 = 8005201^2 + 1628956^2 .

It is a cyclic number.

It is not a de Polignac number, because 66736740700337 - 2⁸ = 66736740700081 is a prime.

Together with 66736740700339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (66736740700339) 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, 33368370350168 + 33368370350169.

It is an arithmetic number, because the mean of its divisors is an integer number (33368370350169).

Almost surely, 2^{66736740700337} is an apocalyptic number.

It is an amenable number.

66736740700337 is a deficient number, since it is larger than the sum of its proper divisors (1).

66736740700337 is an equidigital number, since it uses as much as digits as its factorization.

66736740700337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56010528, while the sum is 59.

The spelling of 66736740700337 in words is "sixty-six trillion, seven hundred thirty-six billion, seven hundred forty million, seven hundred thousand, three hundred thirty-seven".