6865864320 has 768 divisors, whose sum is σ = 28130457600. Its totient is φ = 1413586944.

The previous prime is 6865864237. The next prime is 6865864349. The reversal of 6865864320 is 234685686.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6865864320.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41112877 + ... + 41113043.

It is an arithmetic number, because the mean of its divisors is an integer number (36628200).

Almost surely, 2^6865864320 is an apocalyptic number.

6865864320 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 6865864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

6865864320 is an abundant number, since it is smaller than the sum of its proper divisors (21264593280).

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

6865864320 is a wasteful number, since it uses less digits than its factorization.

6865864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 6865864320 is about 82860.5112221739. The cubic root of 6865864320 is about 1900.6336132402.

The spelling of 6865864320 in words is "six billion, eight hundred sixty-five million, eight hundred sixty-four thousand, three hundred twenty".