42663036624 has 80 divisors (see below), whose sum is σ = 118996550400. Its totient is φ = 13093267968.

The previous prime is 42663036583. The next prime is 42663036631.

42663036624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154857 + ... + 330615.

It is an arithmetic number, because the mean of its divisors is an integer number (1487456880).

Almost surely, 2^42663036624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42663036624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59498275200).

42663036624 is an abundant number, since it is smaller than the sum of its proper divisors (76333513776).

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

42663036624 is a wasteful number, since it uses less digits than its factorization.

42663036624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176172 (or 176166 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 42663036624 in words is "forty-two billion, six hundred sixty-three million, thirty-six thousand, six hundred twenty-four".