6516800000 has 120 divisors (see below), whose sum is σ = 16279044012. Its totient is φ = 2606080000.

The previous prime is 6516799999. The next prime is 6516800021. The reversal of 6516800000 is 86156.

It can be written as a sum of positive squares in 6 ways, for example, as 1960009984 + 4556790016 = 44272^2 + 67504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1597964 + ... + 1602036.

Almost surely, 2^6516800000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6516800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139522006).

6516800000 is an abundant number, since it is smaller than the sum of its proper divisors (9762244012).

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

6516800000 is an frugal number, since it uses more digits than its factorization.

6516800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 6516800000 is about 80726.6994246637. The cubic root of 6516800000 is about 1867.8620461287.

Adding to 6516800000 its reverse (86156), we get a palindrome (6516886156).

The spelling of 6516800000 in words is "six billion, five hundred sixteen million, eight hundred thousand".