726575767575627 has 16 divisors (see below), whose sum is σ = 971503358368032. Its totient is φ = 483016806412800.

The previous prime is 726575767575617. The next prime is 726575767575631.

726575767575627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 726575767575627 - 2⁷ = 726575767575499 is a prime.

It is a super-2 number, since 2×726575767575627² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 726575767575627.

It is not an unprimeable number, because it can be changed into a prime (726575767575607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95781768 + ... + 103088789.

It is an arithmetic number, because the mean of its divisors is an integer number (60718959898002).

Almost surely, 2^{726575767575627} is an apocalyptic number.

726575767575627 is a deficient number, since it is larger than the sum of its proper divisors (244927590792405).

726575767575627 is a wasteful number, since it uses less digits than its factorization.

726575767575627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198873998.

The product of its digits is 63530460000, while the sum is 84.

The spelling of 726575767575627 in words is "seven hundred twenty-six trillion, five hundred seventy-five billion, seven hundred sixty-seven million, five hundred seventy-five thousand, six hundred twenty-seven".