6867864000 has 672 divisors, whose sum is σ = 27000110592. Its totient is φ = 1658880000.

The previous prime is 6867863999. The next prime is 6867864007. The reversal of 6867864000 is 4687686.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6867864007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37943910 + ... + 37944090.

It is an arithmetic number, because the mean of its divisors is an integer number (40178736).

Almost surely, 2^6867864000 is an apocalyptic number.

6867864000 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 6867864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500055296).

6867864000 is an abundant number, since it is smaller than the sum of its proper divisors (20132246592).

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

6867864000 is a wasteful number, since it uses less digits than its factorization.

6867864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6867864000 is about 82872.5768876533. The cubic root of 6867864000 is about 1900.8181149007.

The spelling of 6867864000 in words is "six billion, eight hundred sixty-seven million, eight hundred sixty-four thousand".