663552000 has 340 divisors, whose sum is σ = 2474096196. Its totient is φ = 176947200.

The previous prime is 663551983. The next prime is 663552011. The reversal of 663552000 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.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)² ⋅ (2!)⁶.

663552000 is a `hidden beast` number, since 6 + 635 + 5 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 642318336 = 4608^2 + 25344^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132710398 + ... + 132710402.

Almost surely, 2^663552000 is an apocalyptic number.

663552000 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 663552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237048098).

663552000 is an abundant number, since it is smaller than the sum of its proper divisors (1810544196).

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

663552000 is an frugal number, since it uses more digits than its factorization.

663552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

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

The square root of 663552000 is about 25759.5031007976. The cubic root of 663552000 is about 872.2178845594.

The spelling of 663552000 in words is "six hundred sixty-three million, five hundred fifty-two thousand".