6788275200 has 1056 divisors, whose sum is σ = 30215685120. Its totient is φ = 1459814400.

The previous prime is 6788275187. The next prime is 6788275201. The reversal of 6788275200 is 25728876.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6788275201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111283170 + ... + 111283230.

Almost surely, 2^6788275200 is an apocalyptic number.

6788275200 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 6788275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107842560).

6788275200 is an abundant number, since it is smaller than the sum of its proper divisors (23427409920).

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

6788275200 is a wasteful number, since it uses less digits than its factorization.

6788275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 6788275200 is about 82390.9897986424. The cubic root of 6788275200 is about 1893.4469723941.

The spelling of 6788275200 in words is "six billion, seven hundred eighty-eight million, two hundred seventy-five thousand, two hundred".