6813461200 has 240 divisors, whose sum is σ = 20695480960. Its totient is φ = 2097653760.

The previous prime is 6813461177. The next prime is 6813461209. The reversal of 6813461200 is 21643186.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813461209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344271 + ... + 1349329.

Almost surely, 2^6813461200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6813461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347740480).

6813461200 is an abundant number, since it is smaller than the sum of its proper divisors (13882019760).

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

6813461200 is a wasteful number, since it uses less digits than its factorization.

6813461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6813461200 is about 82543.6926724265. The cubic root of 6813461200 is about 1895.7857843996.

The spelling of 6813461200 in words is "six billion, eight hundred thirteen million, four hundred sixty-one thousand, two hundred".