6744636117200 has 120 divisors (see below), whose sum is σ = 16538552298240. Its totient is φ = 2642521996800.

The previous prime is 6744636117161. The next prime is 6744636117209. The reversal of 6744636117200 is 27116364476.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253317 + ... + 6409883.

It is an arithmetic number, because the mean of its divisors is an integer number (137821269152).

Almost surely, 2^{6744636117200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6744636117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269276149120).

6744636117200 is an abundant number, since it is smaller than the sum of its proper divisors (9793916181040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6744636117200 is a wasteful number, since it uses less digits than its factorization.

6744636117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156885 (or 1156874 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 6744636117200 in words is "six trillion, seven hundred forty-four billion, six hundred thirty-six million, one hundred seventeen thousand, two hundred".