42642624624 has 40 divisors (see below), whose sum is σ = 110536123152. Its totient is φ = 14165690880.

The previous prime is 42642624613. The next prime is 42642624631.

It is a happy number.

42642624624 is nontrivially palindromic in base 10.

42642624624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42642624624² (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1501957 + ... + 1530084.

Almost surely, 2^42642624624 is an apocalyptic number.

It is an amenable number.

42642624624 is an abundant number, since it is smaller than the sum of its proper divisors (67893498528).

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

42642624624 is a wasteful number, since it uses less digits than its factorization.

42642624624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032345 (or 3032339 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The spelling of 42642624624 in words is "forty-two billion, six hundred forty-two million, six hundred twenty-four thousand, six hundred twenty-four".