6870768000 has 128 divisors (see below), whose sum is σ = 22776755040. Its totient is φ = 1832192000.

The previous prime is 6870767963. The next prime is 6870768019. The reversal of 6870768000 is 8670786.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23571 + ... + 119570.

Almost surely, 2^6870768000 is an apocalyptic number.

6870768000 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 6870768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388377520).

6870768000 is an abundant number, since it is smaller than the sum of its proper divisors (15905987040).

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

6870768000 is a wasteful number, since it uses less digits than its factorization.

6870768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143173 (or 143151 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 6870768000 is about 82890.0959101870. The cubic root of 6870768000 is about 1901.0859904230.

The spelling of 6870768000 in words is "six billion, eight hundred seventy million, seven hundred sixty-eight thousand".