6688617800 has 36 divisors (see below), whose sum is σ = 15553725945. Its totient is φ = 2674984480.

The previous prime is 6688617791. The next prime is 6688617809. The reversal of 6688617800 is 87168866.

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.

It is an interprime number because it is at equal distance from previous prime (6688617791) and next prime (6688617809).

It can be written as a sum of positive squares in 2 ways, for example, as 6554845444 + 133772356 = 80962^2 + 11566^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=57830.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (6688617809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1153709 + ... + 1159491.

Almost surely, 2^6688617800 is an apocalyptic number.

It is an amenable number.

6688617800 is an abundant number, since it is smaller than the sum of its proper divisors (8865108145).

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

6688617800 is an frugal number, since it uses more digits than its factorization.

6688617800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 6688617800 is about 81783.9703120361. The cubic root of 6688617800 is about 1884.1354754328.

Multiplying 6688617800 by its sum of digits (50), we get a square (334430890000 = 578300²).

6688617800 divided by its sum of digits (50) gives a square (133772356 = 11566²).

The spelling of 6688617800 in words is "six billion, six hundred eighty-eight million, six hundred seventeen thousand, eight hundred".