6541804800 has 324 divisors, whose sum is σ = 23587565820. Its totient is φ = 1729658880.

The previous prime is 6541804793. The next prime is 6541804811. The reversal of 6541804800 is 84081456.

6541804800 is a `hidden beast` number, since 65 + 41 + 80 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23503104 + 6518301696 = 4848^2 + 80736^2 .

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7890786 + ... + 7891614.

Almost surely, 2^6541804800 is an apocalyptic number.

6541804800 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 6541804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793782910).

6541804800 is an abundant number, since it is smaller than the sum of its proper divisors (17045761020).

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

6541804800 is a wasteful number, since it uses less digits than its factorization.

6541804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6541804800 is about 80881.4243198029. The cubic root of 6541804800 is about 1870.2479772571.

The spelling of 6541804800 in words is "six billion, five hundred forty-one million, eight hundred four thousand, eight hundred".