6641253355680 has 288 divisors, whose sum is σ = 23061712564800. Its totient is φ = 1740128403456.

The previous prime is 6641253355673. The next prime is 6641253355703. The reversal of 6641253355680 is 865533521466.

6641253355680 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 2 + 5 + 3 + 3 + 556 + 80 = 666.

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

It is a super-2 number, since 2×6641253355680² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19244491 + ... + 19586549.

It is an arithmetic number, because the mean of its divisors is an integer number (80075390850).

Almost surely, 2^{6641253355680} is an apocalyptic number.

6641253355680 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 6641253355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530856282400).

6641253355680 is an abundant number, since it is smaller than the sum of its proper divisors (16420459209120).

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

6641253355680 is a wasteful number, since it uses less digits than its factorization.

6641253355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342316 (or 342305 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 6641253355680 in words is "six trillion, six hundred forty-one billion, two hundred fifty-three million, three hundred fifty-five thousand, six hundred eighty".