726123321627 has 48 divisors (see below), whose sum is σ = 1080798534144. Its totient is φ = 433221465600.

The previous prime is 726123321601. The next prime is 726123321659.

726123321627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 726123321627 - 2¹⁶ = 726123256091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (726123321227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17324298 + ... + 17366160.

It is an arithmetic number, because the mean of its divisors is an integer number (22516636128).

Almost surely, 2^726123321627 is an apocalyptic number.

726123321627 is a deficient number, since it is larger than the sum of its proper divisors (354675212517).

726123321627 is a wasteful number, since it uses less digits than its factorization.

726123321627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42632 (or 42621 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The spelling of 726123321627 in words is "seven hundred twenty-six billion, one hundred twenty-three million, three hundred twenty-one thousand, six hundred twenty-seven".