667929625164029 has 2 divisors, whose sum is σ = 667929625164030. Its totient is φ = 667929625164028.

The previous prime is 667929625164019. The next prime is 667929625164049. The reversal of 667929625164029 is 920461526929766.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 466430322612004 + 201499302552025 = 21596998^2 + 14195045^2 .

It is a cyclic number.

It is not a de Polignac number, because 667929625164029 - 2⁴ = 667929625164013 is a prime.

It is a super-2 number, since 2×667929625164029² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (667929625164019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 333964812582014 + 333964812582015.

It is an arithmetic number, because the mean of its divisors is an integer number (333964812582015).

Almost surely, 2^{667929625164029} is an apocalyptic number.

It is an amenable number.

667929625164029 is a deficient number, since it is larger than the sum of its proper divisors (1).

667929625164029 is an equidigital number, since it uses as much as digits as its factorization.

667929625164029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058158080, while the sum is 74.

The spelling of 667929625164029 in words is "six hundred sixty-seven trillion, nine hundred twenty-nine billion, six hundred twenty-five million, one hundred sixty-four thousand, twenty-nine".