6743809440 has 384 divisors, whose sum is σ = 25041623040. Its totient is φ = 1692057600.

The previous prime is 6743809439. The next prime is 6743809447. The reversal of 6743809440 is 449083476.

It is a super-2 number, since 2×6743809440² = 90957931526066227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6743809447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4954360 + ... + 4955720.

It is an arithmetic number, because the mean of its divisors is an integer number (65212560).

Almost surely, 2^6743809440 is an apocalyptic number.

6743809440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6743809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520811520).

6743809440 is an abundant number, since it is smaller than the sum of its proper divisors (18297813600).

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

6743809440 is a wasteful number, since it uses less digits than its factorization.

6743809440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6743809440 is about 82120.7004353957. The cubic root of 6743809440 is about 1889.3036487338.

The spelling of 6743809440 in words is "six billion, seven hundred forty-three million, eight hundred nine thousand, four hundred forty".