42332432768 has 128 divisors (see below), whose sum is σ = 90772941600. Its totient is φ = 19593953280.

The previous prime is 42332432767. The next prime is 42332432771. The reversal of 42332432768 is 86723423324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42332432767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46672571 + ... + 46673477.

Almost surely, 2^42332432768 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 42332432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45386470800).

42332432768 is an abundant number, since it is smaller than the sum of its proper divisors (48440508832).

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

42332432768 is a wasteful number, since it uses less digits than its factorization.

42332432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1256 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 44.

The spelling of 42332432768 in words is "forty-two billion, three hundred thirty-two million, four hundred thirty-two thousand, seven hundred sixty-eight".