6816499200 has 720 divisors, whose sum is σ = 28496033280. Its totient is φ = 1523957760.

The previous prime is 6816499199. The next prime is 6816499211. The reversal of 6816499200 is 29946186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6816499200² = 92929322687201280000, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63705547 + ... + 63705653.

It is an arithmetic number, because the mean of its divisors is an integer number (39577824).

Almost surely, 2^6816499200 is an apocalyptic number.

6816499200 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 6816499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14248016640).

6816499200 is an abundant number, since it is smaller than the sum of its proper divisors (21679534080).

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

6816499200 is a wasteful number, since it uses less digits than its factorization.

6816499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6816499200 is about 82562.0929967258. The cubic root of 6816499200 is about 1896.0675081448.

The spelling of 6816499200 in words is "six billion, eight hundred sixteen million, four hundred ninety-nine thousand, two hundred".