6536821200 has 480 divisors, whose sum is σ = 26616963072. Its totient is φ = 1334016000.

The previous prime is 6536821127. The next prime is 6536821223. The reversal of 6536821200 is 21286356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3384235 + ... + 3386165.

Almost surely, 2^6536821200 is an apocalyptic number.

6536821200 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 6536821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308481536).

6536821200 is an abundant number, since it is smaller than the sum of its proper divisors (20080141872).

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

6536821200 is a wasteful number, since it uses less digits than its factorization.

6536821200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6536821200 is about 80850.6103873063. The cubic root of 6536821200 is about 1869.7729332422.

It can be divided in two parts, 65368 and 21200, that added together give a palindrome (86568).

The spelling of 6536821200 in words is "six billion, five hundred thirty-six million, eight hundred twenty-one thousand, two hundred".