6681600000 has 504 divisors, whose sum is σ = 24956879220. Its totient is φ = 1720320000.

The previous prime is 6681599989. The next prime is 6681600007. The reversal of 6681600000 is 61866.

It can be written as a sum of positive squares in 6 ways, for example, as 753831936 + 5927768064 = 27456^2 + 76992^2 .

It is not an unprimeable number, because it can be changed into a prime (6681600007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230399986 + ... + 230400014.

Almost surely, 2^6681600000 is an apocalyptic number.

6681600000 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 6681600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478439610).

6681600000 is an abundant number, since it is smaller than the sum of its proper divisors (18275279220).

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

6681600000 is an frugal number, since it uses more digits than its factorization.

6681600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6681600000 is about 81741.0545564467. The cubic root of 6681600000 is about 1883.4762902596.

Adding to 6681600000 its reverse (61866), we get a palindrome (6681661866).

The spelling of 6681600000 in words is "six billion, six hundred eighty-one million, six hundred thousand".