6643361160 has 192 divisors, whose sum is σ = 22032719280. Its totient is φ = 1735557120.

The previous prime is 6643361143. The next prime is 6643361177. The reversal of 6643361160 is 611633466.

6643361160 is a `hidden beast` number, since 6 + 6 + 4 + 33 + 611 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6643361143) and next prime (6643361177).

It can be written as a sum of positive squares in 8 ways, for example, as 2248466724 + 4394894436 = 47418^2 + 66294^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 7751452 + ... + 7752308.

Almost surely, 2^6643361160 is an apocalyptic number.

6643361160 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 6643361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016359640).

6643361160 is an abundant number, since it is smaller than the sum of its proper divisors (15389358120).

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

6643361160 is a wasteful number, since it uses less digits than its factorization.

6643361160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6643361160 is about 81506.8166474437. The cubic root of 6643361160 is about 1879.8763650399.

The spelling of 6643361160 in words is "six billion, six hundred forty-three million, three hundred sixty-one thousand, one hundred sixty".