664224000 has 576 divisors, whose sum is σ = 2617235712. Its totient is φ = 147456000.

The previous prime is 664223993. The next prime is 664224047. The reversal of 664224000 is 422466.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17951982 + ... + 17952018.

It is an arithmetic number, because the mean of its divisors is an integer number (4543812).

Almost surely, 2^664224000 is an apocalyptic number.

664224000 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 664224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308617856).

664224000 is an abundant number, since it is smaller than the sum of its proper divisors (1953011712).

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

664224000 is a wasteful number, since it uses less digits than its factorization.

664224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 664224000 is about 25772.5435298885. The cubic root of 664224000 is about 872.5122260556.

Adding to 664224000 its reverse (422466), we get a palindrome (664646466).

The spelling of 664224000 in words is "six hundred sixty-four million, two hundred twenty-four thousand".