726346464643627 has 8 divisors (see below), whose sum is σ = 764576180690000. Its totient is φ = 688116844072224.

The previous prime is 726346464643577. The next prime is 726346464643643.

It is a happy number.

726346464643627 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 726346464643627 - 2³⁹ = 725796708829739 is a prime.

It is a super-2 number, since 2×726346464643627² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726346464643687) 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 7 ways as a sum of consecutive naturals, for example, 7981752 + ... + 38940997.

It is an arithmetic number, because the mean of its divisors is an integer number (95572022586250).

Almost surely, 2^{726346464643627} is an apocalyptic number.

726346464643627 is a deficient number, since it is larger than the sum of its proper divisors (38229716046373).

726346464643627 is a wasteful number, since it uses less digits than its factorization.

726346464643627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47737485.

The product of its digits is 3511517184, while the sum is 70.

The spelling of 726346464643627 in words is "seven hundred twenty-six trillion, three hundred forty-six billion, four hundred sixty-four million, six hundred forty-three thousand, six hundred twenty-seven".