6864566400 has 192 divisors, whose sum is σ = 25122722400. Its totient is φ = 1830528000.

The previous prime is 6864566399. The next prime is 6864566473. The reversal of 6864566400 is 46654686.

6864566400 is a `hidden beast` number, since 6 + 86 + 4 + 566 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 46675 + ... + 126125.

Almost surely, 2^6864566400 is an apocalyptic number.

6864566400 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 6864566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561361200).

6864566400 is an abundant number, since it is smaller than the sum of its proper divisors (18258156000).

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

6864566400 is a wasteful number, since it uses less digits than its factorization.

6864566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79484 (or 79461 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6864566400 is about 82852.6788945294. The cubic root of 6864566400 is about 1900.5138407092.

The spelling of 6864566400 in words is "six billion, eight hundred sixty-four million, five hundred sixty-six thousand, four hundred".