67000777744081 has 2 divisors, whose sum is σ = 67000777744082. Its totient is φ = 67000777744080.

The previous prime is 67000777744073. The next prime is 67000777744091. The reversal of 67000777744081 is 18044777700076.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67000527598225 + 250145856 = 8185385^2 + 15816^2 .

It is a cyclic number.

It is not a de Polignac number, because 67000777744081 - 2³ = 67000777744073 is a prime.

It is a super-2 number, since 2×67000777744081² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67000777744091) 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, 33500388872040 + 33500388872041.

It is an arithmetic number, because the mean of its divisors is an integer number (33500388872041).

Almost surely, 2^{67000777744081} is an apocalyptic number.

It is an amenable number.

67000777744081 is a deficient number, since it is larger than the sum of its proper divisors (1).

67000777744081 is an equidigital number, since it uses as much as digits as its factorization.

67000777744081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12907776, while the sum is 58.

The spelling of 67000777744081 in words is "sixty-seven trillion, seven hundred seventy-seven million, seven hundred forty-four thousand, eighty-one".