6864505200 has 360 divisors, whose sum is σ = 27375061376. Its totient is φ = 1560384000.

The previous prime is 6864505187. The next prime is 6864505201. The reversal of 6864505200 is 25054686.

6864505200 is a `hidden beast` number, since 6 + 8 + 645 + 0 + 5 + 2 + 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 not an unprimeable number, because it can be changed into a prime (6864505201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5316555 + ... + 5317845.

Almost surely, 2^6864505200 is an apocalyptic number.

6864505200 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 6864505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687530688).

6864505200 is an abundant number, since it is smaller than the sum of its proper divisors (20510556176).

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

6864505200 is a wasteful number, since it uses less digits than its factorization.

6864505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6864505200 is about 82852.3095634636. The cubic root of 6864505200 is about 1900.5081927781.

Adding to 6864505200 its reverse (25054686), we get a palindrome (6889559886).

The spelling of 6864505200 in words is "six billion, eight hundred sixty-four million, five hundred five thousand, two hundred".