726689444986627 has 16 divisors (see below), whose sum is σ = 765593226335520. Its totient is φ = 687851374636800.

The previous prime is 726689444986523. The next prime is 726689444986679.

726689444986627 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 726689444986627 - 2¹¹ = 726689444984579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726689444986727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2655765673 + ... + 2656039285.

It is an arithmetic number, because the mean of its divisors is an integer number (47849576645970).

Almost surely, 2^{726689444986627} is an apocalyptic number.

726689444986627 is a deficient number, since it is larger than the sum of its proper divisors (38903781348893).

726689444986627 is a wasteful number, since it uses less digits than its factorization.

726689444986627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393174.

The product of its digits is 84276412416, while the sum is 88.

The spelling of 726689444986627 in words is "seven hundred twenty-six trillion, six hundred eighty-nine billion, four hundred forty-four million, nine hundred eighty-six thousand, six hundred twenty-seven".