667726516104031 has 16 divisors (see below), whose sum is σ = 696934771144128. Its totient is φ = 638532992204800.

The previous prime is 667726516104019. The next prime is 667726516104049. The reversal of 667726516104031 is 130401615627766.

It is a cyclic number.

It is not a de Polignac number, because 667726516104031 - 2⁷ = 667726516103903 is a prime.

It is a super-2 number, since 2×667726516104031² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667726516104331) 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 in 15 ways as a sum of consecutive naturals, for example, 4305585411 + ... + 4305740491.

It is an arithmetic number, because the mean of its divisors is an integer number (43558423196508).

Almost surely, 2^{667726516104031} is an apocalyptic number.

667726516104031 is a deficient number, since it is larger than the sum of its proper divisors (29208255040097).

667726516104031 is a wasteful number, since it uses less digits than its factorization.

667726516104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201362.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 667726516104031 in words is "six hundred sixty-seven trillion, seven hundred twenty-six billion, five hundred sixteen million, one hundred four thousand, thirty-one".