6743334240 has 480 divisors, whose sum is σ = 25502045184. Its totient is φ = 1672151040.

The previous prime is 6743334229. The next prime is 6743334271. The reversal of 6743334240 is 424333476.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6743334195 and 6743334204.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 27980520 + ... + 27980760.

Almost surely, 2^6743334240 is an apocalyptic number.

6743334240 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 6743334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12751022592).

6743334240 is an abundant number, since it is smaller than the sum of its proper divisors (18758710944).

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

6743334240 is a wasteful number, since it uses less digits than its factorization.

6743334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 6743334240 is about 82117.8070822644. The cubic root of 6743334240 is about 1889.2592713340.

The spelling of 6743334240 in words is "six billion, seven hundred forty-three million, three hundred thirty-four thousand, two hundred forty".