6788455200 has 162 divisors, whose sum is σ = 23962468257. Its totient is φ = 1808390400.

The previous prime is 6788455133. The next prime is 6788455213. The reversal of 6788455200 is 25548876.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6788455200 is a `hidden beast` number, since 6 + 7 + 88 + 45 + 520 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6652686096 + 135769104 = 81564^2 + 11652^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=58260.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6990715 + ... + 6991685.

Almost surely, 2^6788455200 is an apocalyptic number.

6788455200 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 6788455200

6788455200 is an abundant number, since it is smaller than the sum of its proper divisors (17174013057).

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

6788455200 is an equidigital number, since it uses as much as digits as its factorization.

6788455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6788455200 is about 82392.0821438565. The cubic root of 6788455200 is about 1893.4637079875.

The spelling of 6788455200 in words is "six billion, seven hundred eighty-eight million, four hundred fifty-five thousand, two hundred".