73667067073337 has 2 divisors, whose sum is σ = 73667067073338. Its totient is φ = 73667067073336.

The previous prime is 73667067073331. The next prime is 73667067073357. The reversal of 73667067073337 is 73337076076637.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63424993368361 + 10242073704976 = 7963981^2 + 3200324^2 .

It is a cyclic number.

It is not a de Polignac number, because 73667067073337 - 2⁶ = 73667067073273 is a prime.

It is not a weakly prime, because it can be changed into another prime (73667067073331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36833533536668 + 36833533536669.

It is an arithmetic number, because the mean of its divisors is an integer number (36833533536669).

Almost surely, 2^{73667067073337} is an apocalyptic number.

It is an amenable number.

73667067073337 is a deficient number, since it is larger than the sum of its proper divisors (1).

73667067073337 is an equidigital number, since it uses as much as digits as its factorization.

73667067073337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294055272, while the sum is 65.

The spelling of 73667067073337 in words is "seventy-three trillion, six hundred sixty-seven billion, sixty-seven million, seventy-three thousand, three hundred thirty-seven".