6736843464849 has 27 divisors (see below), whose sum is σ = 10337282036913. Its totient is φ = 4226955979392.

The previous prime is 6736843464803. The next prime is 6736843464853. The reversal of 6736843464849 is 9484643486376.

The square root of 6736843464849 is 2595543.

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

6736843464849 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 84 + 3 + 464 + 84 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1320331989249 + 5416511475600 = 1149057^2 + 2327340^2 .

It is not a de Polignac number, because 6736843464849 - 2²³ = 6736835076241 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6736843464049) 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, 132347247 + ... + 132398139.

Almost surely, 2^{6736843464849} is an apocalyptic number.

6736843464849 is the 2595543-rd square number.

6736843464849 is the 1297772-nd centered octagonal number.

It is an amenable number.

6736843464849 is a deficient number, since it is larger than the sum of its proper divisors (3600438572064).

6736843464849 is an frugal number, since it uses more digits than its factorization.

6736843464849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101826 (or 50913 counting only the distinct ones).

The product of its digits is 2006581248, while the sum is 72.

The spelling of 6736843464849 in words is "six trillion, seven hundred thirty-six billion, eight hundred forty-three million, four hundred sixty-four thousand, eight hundred forty-nine".