42768421872 has 240 divisors, whose sum is σ = 129698365440. Its totient is φ = 12108096000.

The previous prime is 42768421867. The next prime is 42768421873. The reversal of 42768421872 is 27812486724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42768421873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5217297 + ... + 5225487.

It is an arithmetic number, because the mean of its divisors is an integer number (540409856).

Almost surely, 2^42768421872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42768421872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64849182720).

42768421872 is an abundant number, since it is smaller than the sum of its proper divisors (86929943568).

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

42768421872 is a wasteful number, since it uses less digits than its factorization.

42768421872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8267 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 51.

The spelling of 42768421872 in words is "forty-two billion, seven hundred sixty-eight million, four hundred twenty-one thousand, eight hundred seventy-two".