42866669664 has 768 divisors, whose sum is σ = 159969116160. Its totient is φ = 11004844032.

The previous prime is 42866669627. The next prime is 42866669687. The reversal of 42866669664 is 46696666824.

It is a happy number.

42866669664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337532769 + ... + 337532895.

It is an arithmetic number, because the mean of its divisors is an integer number (208293120).

Almost surely, 2^42866669664 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 42866669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79984558080).

42866669664 is an abundant number, since it is smaller than the sum of its proper divisors (117102446496).

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

42866669664 is a wasteful number, since it uses less digits than its factorization.

42866669664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 42866669664 in words is "forty-two billion, eight hundred sixty-six million, six hundred sixty-nine thousand, six hundred sixty-four".