42634622643624 has 64 divisors (see below), whose sum is σ = 129195826200000. Its totient is φ = 12919582618560.

The previous prime is 42634622643601. The next prime is 42634622643661.

42634622643624 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 4 + 6 + 2 + 2 + 6 + 4 + 3 + 624 = 666.

42634622643624 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42634622643624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 8971929999 + ... + 8971934750.

It is an arithmetic number, because the mean of its divisors is an integer number (2018684784375).

Almost surely, 2^{42634622643624} is an apocalyptic number.

42634622643624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42634622643624 is an abundant number, since it is smaller than the sum of its proper divisors (86561203556376).

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

42634622643624 is a wasteful number, since it uses less digits than its factorization.

42634622643624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17943864775 (or 17943864765 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 42634622643624 in words is "forty-two trillion, six hundred thirty-four billion, six hundred twenty-two million, six hundred forty-three thousand, six hundred twenty-four".