6866143200 has 360 divisors, whose sum is σ = 28618449552. Its totient is φ = 1569300480.

The previous prime is 6866143181. The next prime is 6866143213. The reversal of 6866143200 is 23416686.

6866143200 is a `hidden beast` number, since 6 + 8 + 6 + 614 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 446032 + ... + 461168.

Almost surely, 2^6866143200 is an apocalyptic number.

6866143200 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 6866143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309224776).

6866143200 is an abundant number, since it is smaller than the sum of its proper divisors (21752306352).

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

6866143200 is a wasteful number, since it uses less digits than its factorization.

6866143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15176 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6866143200 is about 82862.1940332260. The cubic root of 6866143200 is about 1900.6593464181.

Adding to 6866143200 its reverse (23416686), we get a palindrome (6889559886).

The spelling of 6866143200 in words is "six billion, eight hundred sixty-six million, one hundred forty-three thousand, two hundred".