6873382880 has 288 divisors, whose sum is σ = 21544621056. Its totient is φ = 2046836736.

The previous prime is 6873382853. The next prime is 6873382903. The reversal of 6873382880 is 882833786.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1730657 + ... + 1734623.

It is an arithmetic number, because the mean of its divisors is an integer number (74807712).

Almost surely, 2^6873382880 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 6873382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772310528).

6873382880 is an abundant number, since it is smaller than the sum of its proper divisors (14671238176).

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

6873382880 is a wasteful number, since it uses less digits than its factorization.

6873382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The square root of 6873382880 is about 82905.8675848700. The cubic root of 6873382880 is about 1901.3271318903.

The spelling of 6873382880 in words is "six billion, eight hundred seventy-three million, three hundred eighty-two thousand, eight hundred eighty".