6744368800 has 144 divisors (see below), whose sum is σ = 18164821752. Its totient is φ = 2429337600.

The previous prime is 6744368779. The next prime is 6744368819. The reversal of 6744368800 is 88634476.

It can be written as a sum of positive squares in 12 ways, for example, as 17424 + 6744351376 = 132^2 + 82124^2 .

It is a super-3 number, since 3×6744368800³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418492 + ... + 434308.

Almost surely, 2^6744368800 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 6744368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082410876).

6744368800 is an abundant number, since it is smaller than the sum of its proper divisors (11420452952).

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

6744368800 is a wasteful number, since it uses less digits than its factorization.

6744368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15891 (or 15878 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 6744368800 is about 82124.1060834150. The cubic root of 6744368800 is about 1889.3558828942.

The spelling of 6744368800 in words is "six billion, seven hundred forty-four million, three hundred sixty-eight thousand, eight hundred".