42668686624 has 24 divisors (see below), whose sum is σ = 87656325120. Its totient is φ = 20406762816.

The previous prime is 42668686583. The next prime is 42668686679.

42668686624 is nontrivially palindromic in base 10.

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 3 ways as a sum of consecutive naturals, for example, 28986144 + ... + 28987615.

It is an arithmetic number, because the mean of its divisors is an integer number (3652346880).

Almost surely, 2^42668686624 is an apocalyptic number.

It is an amenable number.

42668686624 is an abundant number, since it is smaller than the sum of its proper divisors (44987638496).

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

42668686624 is a wasteful number, since it uses less digits than its factorization.

42668686624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57973792 (or 57973784 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 58.

The spelling of 42668686624 in words is "forty-two billion, six hundred sixty-eight million, six hundred eighty-six thousand, six hundred twenty-four".