6581680560 has 960 divisors, whose sum is σ = 30418053120. Its totient is φ = 1234206720.

The previous prime is 6581680559. The next prime is 6581680571. The reversal of 6581680560 is 650861856.

6581680560 is a `hidden beast` number, since 6 + 5 + 8 + 1 + 6 + 80 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21162805 + ... + 21163115.

It is an arithmetic number, because the mean of its divisors is an integer number (31685472).

Almost surely, 2^6581680560 is an apocalyptic number.

6581680560 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 6581680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209026560).

6581680560 is an abundant number, since it is smaller than the sum of its proper divisors (23836372560).

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

6581680560 is a wasteful number, since it uses less digits than its factorization.

6581680560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 6581680560 is about 81127.5573402774. The cubic root of 6581680560 is about 1874.0403323708.

The spelling of 6581680560 in words is "six billion, five hundred eighty-one million, six hundred eighty thousand, five hundred sixty".