726216404612627 has 16 divisors (see below), whose sum is σ = 738629710479360. Its totient is φ = 713806592760000.

The previous prime is 726216404612597. The next prime is 726216404612683.

726216404612627 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 726216404612627 - 2¹⁸ = 726216404350483 is a prime.

It is a super-2 number, since 2×726216404612627² (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 (726216407612627) 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, 16987099502 + ... + 16987142252.

It is an arithmetic number, because the mean of its divisors is an integer number (46164356904960).

Almost surely, 2^{726216404612627} is an apocalyptic number.

726216404612627 is a deficient number, since it is larger than the sum of its proper divisors (12413305866733).

726216404612627 is a wasteful number, since it uses less digits than its factorization.

726216404612627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76834.

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 726216404612627 in words is "seven hundred twenty-six trillion, two hundred sixteen billion, four hundred four million, six hundred twelve thousand, six hundred twenty-seven".