6644680516800 has 1680 divisors, whose sum is σ = 26992969006080. Its totient is φ = 1596754944000.

The previous prime is 6644680516783. The next prime is 6644680516841. The reversal of 6644680516800 is 86150864466.

6644680516800 is a `hidden beast` number, since 6 + 6 + 4 + 46 + 8 + 0 + 516 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 4656397687 + ... + 4656399113.

It is an arithmetic number, because the mean of its divisors is an integer number (16067243456).

Almost surely, 2^{6644680516800} is an apocalyptic number.

6644680516800 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 6644680516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496484503040).

6644680516800 is an abundant number, since it is smaller than the sum of its proper divisors (20348288489280).

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

6644680516800 is a wasteful number, since it uses less digits than its factorization.

6644680516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6644680516800 in words is "six trillion, six hundred forty-four billion, six hundred eighty million, five hundred sixteen thousand, eight hundred".