73340674066657 has 2 divisors, whose sum is σ = 73340674066658. Its totient is φ = 73340674066656.

The previous prime is 73340674066523. The next prime is 73340674066721. The reversal of 73340674066657 is 75666047604337.

It is an a-pointer prime, because the next prime (73340674066721) can be obtained adding 73340674066657 to its sum of digits (64).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67950494617681 + 5390179448976 = 8243209^2 + 2321676^2 .

It is a cyclic number.

It is not a de Polignac number, because 73340674066657 - 2¹⁹ = 73340673542369 is a prime.

It is a super-4 number, since 4×73340674066657⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (73340674066757) 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, 36670337033328 + 36670337033329.

It is an arithmetic number, because the mean of its divisors is an integer number (36670337033329).

Almost surely, 2^{73340674066657} is an apocalyptic number.

It is an amenable number.

73340674066657 is a deficient number, since it is larger than the sum of its proper divisors (1).

73340674066657 is an equidigital number, since it uses as much as digits as its factorization.

73340674066657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320060160, while the sum is 64.

The spelling of 73340674066657 in words is "seventy-three trillion, three hundred forty billion, six hundred seventy-four million, sixty-six thousand, six hundred fifty-seven".