42547680 has 360 divisors, whose sum is σ = 177280488. Its totient is φ = 9580032.

The previous prime is 42547663. The next prime is 42547693. The reversal of 42547680 is 8674524.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 635007 + ... + 635073.

Almost surely, 2^42547680 is an apocalyptic number.

42547680 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 42547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640244).

42547680 is an abundant number, since it is smaller than the sum of its proper divisors (134732808).

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

42547680 is a wasteful number, since it uses less digits than its factorization.

42547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42547680 is about 6522.8582691946. The cubic root of 42547680 is about 349.1070571365.

The spelling of 42547680 in words is "forty-two million, five hundred forty-seven thousand, six hundred eighty".