6641565788160 has 960 divisors, whose sum is σ = 26302935859200. Its totient is φ = 1594350895104.

The previous prime is 6641565788159. The next prime is 6641565788167. The reversal of 6641565788160 is 618875651466.

6641565788160 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 56 + 578 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6641565788160² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6641565788167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324300801 + ... + 324321279.

It is an arithmetic number, because the mean of its divisors is an integer number (27398891520).

Almost surely, 2^{6641565788160} is an apocalyptic number.

6641565788160 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 6641565788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151467929600).

6641565788160 is an abundant number, since it is smaller than the sum of its proper divisors (19661370071040).

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

6641565788160 is a wasteful number, since it uses less digits than its factorization.

6641565788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20558 (or 20529 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 6641565788160 in words is "six trillion, six hundred forty-one billion, five hundred sixty-five million, seven hundred eighty-eight thousand, one hundred sixty".