66733733674057 has 2 divisors, whose sum is σ = 66733733674058. Its totient is φ = 66733733674056.

The previous prime is 66733733674021. The next prime is 66733733674093. The reversal of 66733733674057 is 75047633733766.

It is a balanced prime because it is at equal distance from previous prime (66733733674021) and next prime (66733733674093).

It can be written as a sum of positive squares in only one way, i.e., 63513822837136 + 3219910836921 = 7969556^2 + 1794411^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66733733674057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66733733673983 and 66733733674001.

It is not a weakly prime, because it can be changed into another prime (66733733674357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33366866837028 + 33366866837029.

It is an arithmetic number, because the mean of its divisors is an integer number (33366866837029).

Almost surely, 2^{66733733674057} is an apocalyptic number.

It is an amenable number.

66733733674057 is a deficient number, since it is larger than the sum of its proper divisors (1).

66733733674057 is an equidigital number, since it uses as much as digits as its factorization.

66733733674057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840157920, while the sum is 67.

The spelling of 66733733674057 in words is "sixty-six trillion, seven hundred thirty-three billion, seven hundred thirty-three million, six hundred seventy-four thousand, fifty-seven".