6743666442240 has 2160 divisors, whose sum is σ = 29810050347168. Its totient is φ = 1397571452928.

The previous prime is 6743666442223. The next prime is 6743666442259. The reversal of 6743666442240 is 422446663476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38980730794 + ... + 38980730966.

Almost surely, 2^{6743666442240} is an apocalyptic number.

6743666442240 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 6743666442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905025173584).

6743666442240 is an abundant number, since it is smaller than the sum of its proper divisors (23066383904928).

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

6743666442240 is a wasteful number, since it uses less digits than its factorization.

6743666442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 54.

The spelling of 6743666442240 in words is "six trillion, seven hundred forty-three billion, six hundred sixty-six million, four hundred forty-two thousand, two hundred forty".