726444444627 has 16 divisors (see below), whose sum is σ = 1174051628160. Its totient is φ = 440269360200.

The previous prime is 726444444617. The next prime is 726444444637.

726444444627 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 4 + 4 + 4 + 4 + 4 + 627 = 666.

726444444627 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (726444444617) and next prime (726444444637).

It is not a de Polignac number, because 726444444627 - 2⁶ = 726444444563 is a prime.

It is a super-2 number, since 2×726444444627² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (726444444617) 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, 1222970149 + ... + 1222970742.

It is an arithmetic number, because the mean of its divisors is an integer number (73378226760).

Almost surely, 2^726444444627 is an apocalyptic number.

726444444627 is a deficient number, since it is larger than the sum of its proper divisors (447607183533).

726444444627 is a wasteful number, since it uses less digits than its factorization.

726444444627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445940911 (or 2445940905 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 54.

The spelling of 726444444627 in words is "seven hundred twenty-six billion, four hundred forty-four million, four hundred forty-four thousand, six hundred twenty-seven".