6879882240 has 792 divisors, whose sum is σ = 30360809232. Its totient is φ = 1424424960.

The previous prime is 6879882239. The next prime is 6879882253. The reversal of 6879882240 is 422889786.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24836982 + ... + 24837258.

Almost surely, 2^6879882240 is an apocalyptic number.

6879882240 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 6879882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180404616).

6879882240 is an abundant number, since it is smaller than the sum of its proper divisors (23480926992).

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

6879882240 is a wasteful number, since it uses less digits than its factorization.

6879882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 6879882240 is about 82945.0555488391. The cubic root of 6879882240 is about 1901.9262311878.

The spelling of 6879882240 in words is "six billion, eight hundred seventy-nine million, eight hundred eighty-two thousand, two hundred forty".