67036736706757 has 2 divisors, whose sum is σ = 67036736706758. Its totient is φ = 67036736706756.

The previous prime is 67036736706727. The next prime is 67036736706761. The reversal of 67036736706757 is 75760763763076.

67036736706757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40919741097316 + 26116995609441 = 6396854^2 + 5110479^2 .

It is a cyclic number.

It is not a de Polignac number, because 67036736706757 - 2¹⁹ = 67036736182469 is a prime.

It is a super-2 number, since 2×67036736706757² (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 (67036736706727) 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, 33518368353378 + 33518368353379.

It is an arithmetic number, because the mean of its divisors is an integer number (33518368353379).

Almost surely, 2^{67036736706757} is an apocalyptic number.

It is an amenable number.

67036736706757 is a deficient number, since it is larger than the sum of its proper divisors (1).

67036736706757 is an equidigital number, since it uses as much as digits as its factorization.

67036736706757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980184240, while the sum is 70.

The spelling of 67036736706757 in words is "sixty-seven trillion, thirty-six billion, seven hundred thirty-six million, seven hundred six thousand, seven hundred fifty-seven".