66007267765657 has 2 divisors, whose sum is σ = 66007267765658. Its totient is φ = 66007267765656.

The previous prime is 66007267765541. The next prime is 66007267765661. The reversal of 66007267765657 is 75656776270066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63816915125401 + 2190352640256 = 7988549^2 + 1479984^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66007267765657 is a prime.

It is not a weakly prime, because it can be changed into another prime (66007267765687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33003633882828 + 33003633882829.

It is an arithmetic number, because the mean of its divisors is an integer number (33003633882829).

Almost surely, 2^{66007267765657} is an apocalyptic number.

It is an amenable number.

66007267765657 is a deficient number, since it is larger than the sum of its proper divisors (1).

66007267765657 is an equidigital number, since it uses as much as digits as its factorization.

66007267765657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 933508800, while the sum is 70.

The spelling of 66007267765657 in words is "sixty-six trillion, seven billion, two hundred sixty-seven million, seven hundred sixty-five thousand, six hundred fifty-seven".