6816700800 has 1440 divisors, whose sum is σ = 32888467920. Its totient is φ = 1353646080.

The previous prime is 6816700771. The next prime is 6816700859. The reversal of 6816700800 is 80076186.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 400982392 + ... + 400982408.

Almost surely, 2^6816700800 is an apocalyptic number.

6816700800 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 6816700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444233960).

6816700800 is an abundant number, since it is smaller than the sum of its proper divisors (26071767120).

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

6816700800 is a wasteful number, since it uses less digits than its factorization.

6816700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6816700800 is about 82563.3138869801. The cubic root of 6816700800 is about 1896.0862002149.

Adding to 6816700800 its reverse (80076186), we get a palindrome (6896776986).

The spelling of 6816700800 in words is "six billion, eight hundred sixteen million, seven hundred thousand, eight hundred".