663552000000 has 700 divisors, whose sum is σ = 2478045917325. Its totient is φ = 176947200000.

The previous prime is 663551999989. The next prime is 663552000019. The reversal of 663552000000 is 255366.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

663552000000 is a `hidden beast` number, since 6 + 635 + 5 + 20 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113154195456 + 550397804544 = 336384^2 + 741888^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=576000.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 34 ways as a sum of consecutive naturals, for example, 132710399998 + ... + 132710400002.

Almost surely, 2^663552000000 is an apocalyptic number.

663552000000 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 663552000000

663552000000 is an abundant number, since it is smaller than the sum of its proper divisors (1814493917325).

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

663552000000 is an frugal number, since it uses more digits than its factorization.

663552000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 663552000000 its reverse (255366), we get a palindrome (663552255366).

The spelling of 663552000000 in words is "six hundred sixty-three billion, five hundred fifty-two million", and thus it is an aban number.