726628826627 has 16 divisors (see below), whose sum is σ = 793921900032. Its totient is φ = 659542554720.

The previous prime is 726628826509. The next prime is 726628826629.

It is a happy number.

726628826627 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 726628826627 - 2¹⁶ = 726628761091 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 726628826627.

It is not an unprimeable number, because it can be changed into a prime (726628826629) 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, 19004093 + ... + 19042289.

It is an arithmetic number, because the mean of its divisors is an integer number (49620118752).

Almost surely, 2^726628826627 is an apocalyptic number.

726628826627 is a deficient number, since it is larger than the sum of its proper divisors (67293073405).

726628826627 is a wasteful number, since it uses less digits than its factorization.

726628826627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40858.

The product of its digits is 65028096, while the sum is 62.

The spelling of 726628826627 in words is "seven hundred twenty-six billion, six hundred twenty-eight million, eight hundred twenty-six thousand, six hundred twenty-seven".