6744636117205 has 48 divisors (see below), whose sum is σ = 9502022021040. Its totient is φ = 4582159024128.

The previous prime is 6744636117161. The next prime is 6744636117209. The reversal of 6744636117205 is 5027116364476.

It can be written as a sum of positive squares in 8 ways, for example, as 89768548996 + 6654867568209 = 299614^2 + 2579703^2 .

It is not a de Polignac number, because 6744636117205 - 2¹¹ = 6744636115157 is a prime.

It is a super-2 number, since 2×6744636117205² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6744636117209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72183477 + ... + 72276853.

It is an arithmetic number, because the mean of its divisors is an integer number (197958792105).

Almost surely, 2^{6744636117205} is an apocalyptic number.

It is an amenable number.

6744636117205 is a deficient number, since it is larger than the sum of its proper divisors (2757385903835).

6744636117205 is a wasteful number, since it uses less digits than its factorization.

6744636117205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96118 (or 96111 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 6744636117205 in words is "six trillion, seven hundred forty-four billion, six hundred thirty-six million, one hundred seventeen thousand, two hundred five".