6810451200 has 972 divisors, whose sum is σ = 30049743360. Its totient is φ = 1463132160.

The previous prime is 6810451177. The next prime is 6810451223. The reversal of 6810451200 is 21540186.

6810451200 is a `hidden beast` number, since 6 + 8 + 1 + 0 + 451 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (6810451177) and next prime (6810451223).

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 107 ways as a sum of consecutive naturals, for example, 53625537 + ... + 53625663.

Almost surely, 2^6810451200 is an apocalyptic number.

6810451200 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 6810451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024871680).

6810451200 is an abundant number, since it is smaller than the sum of its proper divisors (23239292160).

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

6810451200 is a wasteful number, since it uses less digits than its factorization.

6810451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6810451200 is about 82525.4578902777. The cubic root of 6810451200 is about 1895.5065745850.

Adding to 6810451200 its reverse (21540186), we get a palindrome (6831991386).

The spelling of 6810451200 in words is "six billion, eight hundred ten million, four hundred fifty-one thousand, two hundred".