6879384288 has 288 divisors, whose sum is σ = 23825430720. Its totient is φ = 1838039040.

The previous prime is 6879384269. The next prime is 6879384319. The reversal of 6879384288 is 8824839786.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6202678 + ... + 6203786.

It is an arithmetic number, because the mean of its divisors is an integer number (82727190).

Almost surely, 2^6879384288 is an apocalyptic number.

6879384288 is a gapful number since it is divisible by the number (68) 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 6879384288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912715360).

6879384288 is an abundant number, since it is smaller than the sum of its proper divisors (16946046432).

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

6879384288 is a wasteful number, since it uses less digits than its factorization.

6879384288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1319 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 6879384288 is about 82942.0537966115. The cubic root of 6879384288 is about 1901.8803442192.

The spelling of 6879384288 in words is "six billion, eight hundred seventy-nine million, three hundred eighty-four thousand, two hundred eighty-eight".