6664824115200 has 780 divisors, whose sum is σ = 25155574619868. Its totient is φ = 1743637708800.

The previous prime is 6664824115199. The next prime is 6664824115211. The reversal of 6664824115200 is 25114284666.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 331776 + 6664823783424 = 576^2 + 2581632^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 439595620 + ... + 439610780.

Almost surely, 2^{6664824115200} is an apocalyptic number.

6664824115200 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 6664824115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577787309934).

6664824115200 is an abundant number, since it is smaller than the sum of its proper divisors (18490750504668).

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

6664824115200 is a wasteful number, since it uses less digits than its factorization.

6664824115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15260 (or 15224 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 6664824115200 its reverse (25114284666), we get a palindrome (6689938399866).

The spelling of 6664824115200 in words is "six trillion, six hundred sixty-four billion, eight hundred twenty-four million, one hundred fifteen thousand, two hundred".