42546664524 has 288 divisors, whose sum is σ = 135257169600. Its totient is φ = 10274439168.

The previous prime is 42546664463. The next prime is 42546664613.

It is a happy number.

42546664524 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4803652 + ... + 4812500.

It is an arithmetic number, because the mean of its divisors is an integer number (469642950).

Almost surely, 2^42546664524 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 42546664524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67628584800).

42546664524 is an abundant number, since it is smaller than the sum of its proper divisors (92710505076).

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

42546664524 is a wasteful number, since it uses less digits than its factorization.

42546664524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8928 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 48.

The spelling of 42546664524 in words is "forty-two billion, five hundred forty-six million, six hundred sixty-four thousand, five hundred twenty-four".