6889188960 has 288 divisors, whose sum is σ = 24471720000. Its totient is φ = 1762725888.

The previous prime is 6889188949. The next prime is 6889188961. The reversal of 6889188960 is 698819886.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6889188961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8309826 + ... + 8310654.

It is an arithmetic number, because the mean of its divisors is an integer number (84971250).

Almost surely, 2^6889188960 is an apocalyptic number.

6889188960 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 6889188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235860000).

6889188960 is an abundant number, since it is smaller than the sum of its proper divisors (17582531040).

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

6889188960 is a wasteful number, since it uses less digits than its factorization.

6889188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The square root of 6889188960 is about 83001.1383054474. The cubic root of 6889188960 is about 1902.7834512567.

The spelling of 6889188960 in words is "six billion, eight hundred eighty-nine million, one hundred eighty-eight thousand, nine hundred sixty".