726457754627 has 16 divisors (see below), whose sum is σ = 826006272000. Its totient is φ = 632907388800.

The previous prime is 726457754593. The next prime is 726457754639.

726457754627 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 726457754627 - 2¹⁴ = 726457738243 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 726457754627.

It is not an unprimeable number, because it can be changed into a prime (726457754657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10306502 + ... + 10376747.

It is an arithmetic number, because the mean of its divisors is an integer number (51625392000).

Almost surely, 2^726457754627 is an apocalyptic number.

726457754627 is a deficient number, since it is larger than the sum of its proper divisors (99548517373).

726457754627 is a wasteful number, since it uses less digits than its factorization.

726457754627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20683394.

The product of its digits is 138297600, while the sum is 62.

The spelling of 726457754627 in words is "seven hundred twenty-six billion, four hundred fifty-seven million, seven hundred fifty-four thousand, six hundred twenty-seven".