6608320718400 has 840 divisors, whose sum is σ = 25600423759680. Its totient is φ = 1667418255360.

The previous prime is 6608320718357. The next prime is 6608320718407. The reversal of 6608320718400 is 48170238066.

6608320718400 is a `hidden beast` number, since 6 + 608 + 3 + 20 + 7 + 18 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6608320718407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3577866277 + ... + 3577868123.

It is an arithmetic number, because the mean of its divisors is an integer number (30476694952).

Almost surely, 2^{6608320718400} is an apocalyptic number.

6608320718400 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 6608320718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800211879840).

6608320718400 is an abundant number, since it is smaller than the sum of its proper divisors (18992103041280).

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

6608320718400 is a wasteful number, since it uses less digits than its factorization.

6608320718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6608320718400 in words is "six trillion, six hundred eight billion, three hundred twenty million, seven hundred eighteen thousand, four hundred".