6640805163744 has 288 divisors, whose sum is σ = 19416542745600. Its totient is φ = 2152390579200.

The previous prime is 6640805163743. The next prime is 6640805163763. The reversal of 6640805163744 is 4473615080466.

6640805163744 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 80 + 516 + 3 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6640805163743) 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 47 ways as a sum of consecutive naturals, for example, 393427497 + ... + 393444375.

It is an arithmetic number, because the mean of its divisors is an integer number (67418551200).

Almost surely, 2^{6640805163744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6640805163744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9708271372800).

6640805163744 is an abundant number, since it is smaller than the sum of its proper divisors (12775737581856).

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

6640805163744 is a wasteful number, since it uses less digits than its factorization.

6640805163744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17238 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6640805163744 in words is "six trillion, six hundred forty billion, eight hundred five million, one hundred sixty-three thousand, seven hundred forty-four".