6780547200 has 768 divisors, whose sum is σ = 27538237440. Its totient is φ = 1432780800.

The previous prime is 6780547183. The next prime is 6780547237. The reversal of 6780547200 is 27450876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63369547 + ... + 63369653.

It is an arithmetic number, because the mean of its divisors is an integer number (35857080).

Almost surely, 2^6780547200 is an apocalyptic number.

6780547200 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 6780547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769118720).

6780547200 is an abundant number, since it is smaller than the sum of its proper divisors (20757690240).

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

6780547200 is a wasteful number, since it uses less digits than its factorization.

6780547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 6780547200 is about 82344.0781113008. The cubic root of 6780547200 is about 1892.7281783942.

The spelling of 6780547200 in words is "six billion, seven hundred eighty million, five hundred forty-seven thousand, two hundred".