6811515200 has 168 divisors, whose sum is σ = 20163739200. Its totient is φ = 2212392960.

The previous prime is 6811515187. The next prime is 6811515209. The reversal of 6811515200 is 25151186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811515209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196796 + ... + 228804.

Almost surely, 2^6811515200 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 6811515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081869600).

6811515200 is an abundant number, since it is smaller than the sum of its proper divisors (13352224000).

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

6811515200 is a wasteful number, since it uses less digits than its factorization.

6811515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32057 (or 32042 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

The square root of 6811515200 is about 82531.9041340983. The cubic root of 6811515200 is about 1895.6052814066.

Adding to 6811515200 its reverse (25151186), we get a palindrome (6836666386).

The spelling of 6811515200 in words is "six billion, eight hundred eleven million, five hundred fifteen thousand, two hundred".