67777877877761 has 2 divisors, whose sum is σ = 67777877877762. Its totient is φ = 67777877877760.

The previous prime is 67777877877727. The next prime is 67777877877779. The reversal of 67777877877761 is 16777877877776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56998272078400 + 10779605799361 = 7549720^2 + 3283231^2 .

It is a cyclic number.

It is not a de Polignac number, because 67777877877761 - 2¹⁴ = 67777877861377 is a prime.

It is a super-2 number, since 2×67777877877761² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67777877877361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33888938938880 + 33888938938881.

It is an arithmetic number, because the mean of its divisors is an integer number (33888938938881).

Almost surely, 2^{67777877877761} is an apocalyptic number.

It is an amenable number.

67777877877761 is a deficient number, since it is larger than the sum of its proper divisors (1).

67777877877761 is an equidigital number, since it uses as much as digits as its factorization.

67777877877761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 92974710528, while the sum is 92.

The spelling of 67777877877761 in words is "sixty-seven trillion, seven hundred seventy-seven billion, eight hundred seventy-seven million, eight hundred seventy-seven thousand, seven hundred sixty-one".