6806764800 has 432 divisors, whose sum is σ = 27236381760. Its totient is φ = 1649664000.

The previous prime is 6806764799. The next prime is 6806764819. The reversal of 6806764800 is 84676086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1899010 + ... + 1902590.

It is an arithmetic number, because the mean of its divisors is an integer number (63047180).

Almost surely, 2^6806764800 is an apocalyptic number.

6806764800 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 6806764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618190880).

6806764800 is an abundant number, since it is smaller than the sum of its proper divisors (20429616960).

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

6806764800 is a wasteful number, since it uses less digits than its factorization.

6806764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3602 counting only the distinct ones).

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

The square root of 6806764800 is about 82503.1199410059. The cubic root of 6806764800 is about 1895.1645093105.

The spelling of 6806764800 in words is "six billion, eight hundred six million, seven hundred sixty-four thousand, eight hundred".