6782868000 has 576 divisors, whose sum is σ = 25527247200. Its totient is φ = 1703116800.

The previous prime is 6782867989. The next prime is 6782868011. The reversal of 6782868000 is 8682876.

It is an interprime number because it is at equal distance from previous prime (6782867989) and next prime (6782868011).

It can be written as a sum of positive squares in 16 ways, for example, as 723179664 + 6059688336 = 26892^2 + 77844^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 76211956 + ... + 76212044.

Almost surely, 2^6782868000 is an apocalyptic number.

6782868000 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 6782868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12763623600).

6782868000 is an abundant number, since it is smaller than the sum of its proper divisors (18744379200).

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

6782868000 is a wasteful number, since it uses less digits than its factorization.

6782868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6782868000 is about 82358.1689937313. The cubic root of 6782868000 is about 1892.9440971768.

The spelling of 6782868000 in words is "six billion, seven hundred eighty-two million, eight hundred sixty-eight thousand".