66736707362737 has 2 divisors, whose sum is σ = 66736707362738. Its totient is φ = 66736707362736.

The previous prime is 66736707362653. The next prime is 66736707362797. The reversal of 66736707362737 is 73726370763766.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49173978157056 + 17562729205681 = 7012416^2 + 4190791^2 .

It is a cyclic number.

It is not a de Polignac number, because 66736707362737 - 2¹⁵ = 66736707329969 is a prime.

It is a super-2 number, since 2×66736707362737² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (66736707362797) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33368353681368 + 33368353681369.

It is an arithmetic number, because the mean of its divisors is an integer number (33368353681369).

Almost surely, 2^{66736707362737} is an apocalyptic number.

It is an amenable number.

66736707362737 is a deficient number, since it is larger than the sum of its proper divisors (1).

66736707362737 is an equidigital number, since it uses as much as digits as its factorization.

66736707362737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176221088, while the sum is 70.

The spelling of 66736707362737 in words is "sixty-six trillion, seven hundred thirty-six billion, seven hundred seven million, three hundred sixty-two thousand, seven hundred thirty-seven".