663868224000 has 1600 divisors, whose sum is σ = 2713925440512. Its totient is φ = 161243136000.

The previous prime is 663868223987. The next prime is 663868224043. The reversal of 663868224000 is 422868366.

663868224000 is a `hidden beast` number, since 6 + 638 + 6 + 8 + 2 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21415103985 + ... + 21415104015.

Almost surely, 2^663868224000 is an apocalyptic number.

663868224000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663868224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356962720256).

663868224000 is an abundant number, since it is smaller than the sum of its proper divisors (2050057216512).

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

663868224000 is an frugal number, since it uses more digits than its factorization.

663868224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 663868224000 in words is "six hundred sixty-three billion, eight hundred sixty-eight million, two hundred twenty-four thousand".