42665871688 has 64 divisors (see below), whose sum is σ = 89621925120. Its totient is φ = 18875750400.

The previous prime is 42665871649. The next prime is 42665871707. The reversal of 42665871688 is 88617856624.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 720120 + ... + 777112.

It is an arithmetic number, because the mean of its divisors is an integer number (1400342580).

Almost surely, 2^42665871688 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 42665871688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44810962560).

42665871688 is an abundant number, since it is smaller than the sum of its proper divisors (46956053432).

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

42665871688 is a wasteful number, since it uses less digits than its factorization.

42665871688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57238 (or 57234 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 61.

The spelling of 42665871688 in words is "forty-two billion, six hundred sixty-five million, eight hundred seventy-one thousand, six hundred eighty-eight".