42627833872624 has 80 divisors (see below), whose sum is σ = 110891987458560. Its totient is φ = 15330689498880.

The previous prime is 42627833872609. The next prime is 42627833872643.

42627833872624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330773004 + ... + 1330805035.

It is an arithmetic number, because the mean of its divisors is an integer number (1386149843232).

Almost surely, 2^{42627833872624} is an apocalyptic number.

42627833872624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42627833872624 is an abundant number, since it is smaller than the sum of its proper divisors (68264153585936).

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

42627833872624 is a wasteful number, since it uses less digits than its factorization.

42627833872624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661578078 (or 2661578072 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 64.

The spelling of 42627833872624 in words is "forty-two trillion, six hundred twenty-seven billion, eight hundred thirty-three million, eight hundred seventy-two thousand, six hundred twenty-four".