6560457120 has 432 divisors, whose sum is σ = 26312406120. Its totient is φ = 1484034048.

The previous prime is 6560457091. The next prime is 6560457143. The reversal of 6560457120 is 217540656.

It is a happy number.

6560457120 is a `hidden beast` number, since 6 + 5 + 60 + 4 + 571 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4259911824 + 2300545296 = 65268^2 + 47964^2 .

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7690614 + ... + 7691466.

Almost surely, 2^6560457120 is an apocalyptic number.

6560457120 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 6560457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156203060).

6560457120 is an abundant number, since it is smaller than the sum of its proper divisors (19751949000).

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

6560457120 is a wasteful number, since it uses less digits than its factorization.

6560457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6560457120 is about 80996.6488195654. The cubic root of 6560457120 is about 1872.0238053076.

Adding to 6560457120 its reverse (217540656), we get a palindrome (6777997776).

The spelling of 6560457120 in words is "six billion, five hundred sixty million, four hundred fifty-seven thousand, one hundred twenty".