6741633249 has 36 divisors (see below), whose sum is σ = 10554661884. Its totient is φ = 4144742784.

The previous prime is 6741633221. The next prime is 6741633259. The reversal of 6741633249 is 9423361476.

6741633249 is a `hidden beast` number, since 6 + 7 + 4 + 1 + 633 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1053456849 + 5688176400 = 32457^2 + 75420^2 .

It is not a de Polignac number, because 6741633249 - 2¹¹ = 6741631201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6741633259) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2938947 + ... + 2941239.

Almost surely, 2^6741633249 is an apocalyptic number.

It is an amenable number.

6741633249 is a deficient number, since it is larger than the sum of its proper divisors (3813028635).

6741633249 is a wasteful number, since it uses less digits than its factorization.

6741633249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4242 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 6741633249 is about 82107.4494123402. The cubic root of 6741633249 is about 1889.1004041649.

The spelling of 6741633249 in words is "six billion, seven hundred forty-one million, six hundred thirty-three thousand, two hundred forty-nine".