6580800000 has 360 divisors, whose sum is σ = 23791219452. Its totient is φ = 1751040000.

The previous prime is 6580799989. The next prime is 6580800019. The reversal of 6580800000 is 80856.

6580800000 is a `hidden beast` number, since 6 + 580 + 80 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 147476736 + 6433323264 = 12144^2 + 80208^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 14399772 + ... + 14400228.

Almost surely, 2^6580800000 is an apocalyptic number.

6580800000 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 6580800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11895609726).

6580800000 is an abundant number, since it is smaller than the sum of its proper divisors (17210419452).

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

6580800000 is an frugal number, since it uses more digits than its factorization.

6580800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6580800000 is about 81122.1301495467. The cubic root of 6580800000 is about 1873.9567529800.

Adding to 6580800000 its reverse (80856), we get a palindrome (6580880856).

The spelling of 6580800000 in words is "six billion, five hundred eighty million, eight hundred thousand".