42743680 has 192 divisors, whose sum is σ = 125582400. Its totient is φ = 13848576.

The previous prime is 42743669. The next prime is 42743717. The reversal of 42743680 is 8634724.

It is a congruent number.

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, 909417 + ... + 909463.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 2^42743680 is an apocalyptic number.

42743680 is a gapful number since it is divisible by the number (40) 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 42743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791200).

42743680 is an abundant number, since it is smaller than the sum of its proper divisors (82838720).

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

42743680 is a wasteful number, since it uses less digits than its factorization.

42743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 42743680 is about 6537.8650949679. The cubic root of 42743680 is about 349.6423012243.

The spelling of 42743680 in words is "forty-two million, seven hundred forty-three thousand, six hundred eighty".