42642566524624 has 40 divisors (see below), whose sum is σ = 90133767998208. Its totient is φ = 19382363546880.

The previous prime is 42642566524531. The next prime is 42642566524627.

42642566524624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42642566524624³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42642566524627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1646484 + ... + 9380620.

Almost surely, 2^{42642566524624} is an apocalyptic number.

42642566524624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42642566524624 is an abundant number, since it is smaller than the sum of its proper divisors (47491201473584).

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

42642566524624 is a wasteful number, since it uses less digits than its factorization.

42642566524624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7765483 (or 7765477 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 58.

The spelling of 42642566524624 in words is "forty-two trillion, six hundred forty-two billion, five hundred sixty-six million, five hundred twenty-four thousand, six hundred twenty-four".