42663466436624 has 80 divisors (see below), whose sum is σ = 93753307440000. Its totient is φ = 18629688591360.

The previous prime is 42663466436611. The next prime is 42663466436663.

42663466436624 is nontrivially palindromic in base 10.

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, 19986389 + ... + 22017780.

It is an arithmetic number, because the mean of its divisors is an integer number (1171916343000).

Almost surely, 2^{42663466436624} is an apocalyptic number.

42663466436624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42663466436624 is an abundant number, since it is smaller than the sum of its proper divisors (51089841003376).

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

42663466436624 is a wasteful number, since it uses less digits than its factorization.

42663466436624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42004416 (or 42004410 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 62.

The spelling of 42663466436624 in words is "forty-two trillion, six hundred sixty-three billion, four hundred sixty-six million, four hundred thirty-six thousand, six hundred twenty-four".