6630652224000 has 3200 divisors, whose sum is σ = 30401897011200. Its totient is φ = 1402815283200.

The previous prime is 6630652223977. The next prime is 6630652224071. The reversal of 6630652224000 is 4222560366.

6630652224000 is a `hidden beast` number, since 66 + 30 + 6 + 522 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×6630652224000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 40678847919 + ... + 40678848081.

It is an arithmetic number, because the mean of its divisors is an integer number (9500592816).

Almost surely, 2^{6630652224000} is an apocalyptic number.

6630652224000 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 6630652224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200948505600).

6630652224000 is an abundant number, since it is smaller than the sum of its proper divisors (23771244787200).

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

6630652224000 is a wasteful number, since it uses less digits than its factorization.

6630652224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 6630652224000 its reverse (4222560366), we get a palindrome (6634874784366).

The spelling of 6630652224000 in words is "six trillion, six hundred thirty billion, six hundred fifty-two million, two hundred twenty-four thousand".