726414414627 has 32 divisors (see below), whose sum is σ = 1093090360320. Its totient is φ = 425260640000.

The previous prime is 726414414599. The next prime is 726414414631.

726414414627 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 726414414627 - 2¹⁰ = 726414413603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (726414414827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2521227 + ... + 2794532.

It is an arithmetic number, because the mean of its divisors is an integer number (34159073760).

Almost surely, 2^726414414627 is an apocalyptic number.

726414414627 is a deficient number, since it is larger than the sum of its proper divisors (366675945693).

726414414627 is a wasteful number, since it uses less digits than its factorization.

726414414627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315915.

The product of its digits is 1806336, while the sum is 48.

The spelling of 726414414627 in words is "seven hundred twenty-six billion, four hundred fourteen million, four hundred fourteen thousand, six hundred twenty-seven".