6880320000 has 300 divisors, whose sum is σ = 24823780410. Its totient is φ = 1833984000.

The previous prime is 6880319993. The next prime is 6880320011. The reversal of 6880320000 is 230886.

It can be written as a sum of positive squares in 5 ways, for example, as 8573184 + 6871746816 = 2928^2 + 82896^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2878806 + ... + 2881194.

Almost surely, 2^6880320000 is an apocalyptic number.

6880320000 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 6880320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411890205).

6880320000 is an abundant number, since it is smaller than the sum of its proper divisors (17943460410).

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

6880320000 is an equidigital number, since it uses as much as digits as its factorization.

6880320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6880320000 is about 82947.6943621702. The cubic root of 6880320000 is about 1901.9665695511.

Adding to 6880320000 its reverse (230886), we get a palindrome (6880550886).

The spelling of 6880320000 in words is "six billion, eight hundred eighty million, three hundred twenty thousand".