6864888000 has 224 divisors, whose sum is σ = 23401617408. Its totient is φ = 1771392000.

The previous prime is 6864887989. The next prime is 6864888001. The reversal of 6864888000 is 8884686.

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

It is not an unprimeable number, because it can be changed into a prime (6864888001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739387 + ... + 748613.

Almost surely, 2^6864888000 is an apocalyptic number.

6864888000 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 6864888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700808704).

6864888000 is an abundant number, since it is smaller than the sum of its proper divisors (16536729408).

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

6864888000 is a wasteful number, since it uses less digits than its factorization.

6864888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 6864888000 is about 82854.6196660150. The cubic root of 6864888000 is about 1900.5435194813.

The spelling of 6864888000 in words is "six billion, eight hundred sixty-four million, eight hundred eighty-eight thousand".