66705858906751 has 2 divisors, whose sum is σ = 66705858906752. Its totient is φ = 66705858906750.

The previous prime is 66705858906689. The next prime is 66705858906769. The reversal of 66705858906751 is 15760985850766.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 66705858906751 - 2⁷ = 66705858906623 is a prime.

It is a super-2 number, since 2×66705858906751² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66705858901751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33352929453375 + 33352929453376.

It is an arithmetic number, because the mean of its divisors is an integer number (33352929453376).

Almost surely, 2^{66705858906751} is an apocalyptic number.

66705858906751 is a deficient number, since it is larger than the sum of its proper divisors (1).

66705858906751 is an equidigital number, since it uses as much as digits as its factorization.

66705858906751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048000, while the sum is 73.

The spelling of 66705858906751 in words is "sixty-six trillion, seven hundred five billion, eight hundred fifty-eight million, nine hundred six thousand, seven hundred fifty-one".