726677432667649 has 8 divisors (see below), whose sum is σ = 751809141576360. Its totient is φ = 701550648185856.

The previous prime is 726677432667583. The next prime is 726677432667671. The reversal of 726677432667649 is 946766234776627.

It can be written as a sum of positive squares in 4 ways, for example, as 211023850755600 + 515653581912049 = 14526660^2 + 22708007^2 .

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 726677432667649 - 2⁷ = 726677432667521 is a prime.

It is a super-2 number, since 2×726677432667649² (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 (726677432607649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1230806494 + ... + 1231396759.

It is an arithmetic number, because the mean of its divisors is an integer number (93976142697045).

Almost surely, 2^{726677432667649} is an apocalyptic number.

It is an amenable number.

726677432667649 is a deficient number, since it is larger than the sum of its proper divisors (25131708908711).

726677432667649 is a wasteful number, since it uses less digits than its factorization.

726677432667649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462213459.

The product of its digits is 32262064128, while the sum is 82.

The spelling of 726677432667649 in words is "seven hundred twenty-six trillion, six hundred seventy-seven billion, four hundred thirty-two million, six hundred sixty-seven thousand, six hundred forty-nine".