726677432667671 has 2 divisors, whose sum is σ = 726677432667672. Its totient is φ = 726677432667670.

The previous prime is 726677432667583. The next prime is 726677432667743. The reversal of 726677432667671 is 176766234776627.

726677432667671 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 is a cyclic number.

It is not a de Polignac number, because 726677432667671 - 2¹⁸ = 726677432405527 is a prime.

It is a super-2 number, since 2×726677432667671² (a number of 31 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 726677432667592 and 726677432667601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (726677432667371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363338716333835 + 363338716333836.

It is an arithmetic number, because the mean of its divisors is an integer number (363338716333836).

Almost surely, 2^{726677432667671} is an apocalyptic number.

726677432667671 is a deficient number, since it is larger than the sum of its proper divisors (1).

726677432667671 is an equidigital number, since it uses as much as digits as its factorization.

726677432667671 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6273179136, while the sum is 77.

The spelling of 726677432667671 in words is "seven hundred twenty-six trillion, six hundred seventy-seven billion, four hundred thirty-two million, six hundred sixty-seven thousand, six hundred seventy-one".