42663599712 has 288 divisors, whose sum is σ = 127529385984. Its totient is φ = 13513651200.

The previous prime is 42663599707. The next prime is 42663599749. The reversal of 42663599712 is 21799536624.

42663599712 is a `hidden beast` number, since 42 + 6 + 6 + 3 + 599 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216566398 + ... + 216566594.

It is an arithmetic number, because the mean of its divisors is an integer number (442810368).

Almost surely, 2^42663599712 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 42663599712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63764692992).

42663599712 is an abundant number, since it is smaller than the sum of its proper divisors (84865786272).

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

42663599712 is a wasteful number, since it uses less digits than its factorization.

42663599712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 42663599712 in words is "forty-two billion, six hundred sixty-three million, five hundred ninety-nine thousand, seven hundred twelve".