6467881499209 has 27 divisors (see below), whose sum is σ = 7092089642613. Its totient is φ = 5895917687712.

The previous prime is 6467881499197. The next prime is 6467881499227. The reversal of 6467881499209 is 9029941887646.

The square root of 6467881499209 is 2543203.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2911790721609 + 3556090777600 = 1706397^2 + 1885760^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6467881499209 is a prime.

It is a super-2 number, since 2×6467881499209² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6467881499249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2744114859 + ... + 2744117215.

Almost surely, 2^{6467881499209} is an apocalyptic number.

6467881499209 is the 2543203-rd square number.

6467881499209 is the 1271602-nd centered octagonal number.

It is an amenable number.

6467881499209 is a deficient number, since it is larger than the sum of its proper divisors (624208143404).

6467881499209 is an frugal number, since it uses more digits than its factorization.

6467881499209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 73.

The spelling of 6467881499209 in words is "six trillion, four hundred sixty-seven billion, eight hundred eighty-one million, four hundred ninety-nine thousand, two hundred nine".