6688089408 has 896 divisors, whose sum is σ = 26545397760. Its totient is φ = 1427374080.

The previous prime is 6688089403. The next prime is 6688089461. The reversal of 6688089408 is 8049808866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6688089403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75147028 + ... + 75147116.

It is an arithmetic number, because the mean of its divisors is an integer number (29626560).

Almost surely, 2^6688089408 is an apocalyptic number.

6688089408 is a gapful number since it is divisible by the number (68) 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 6688089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272698880).

6688089408 is an abundant number, since it is smaller than the sum of its proper divisors (19857308352).

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

6688089408 is a wasteful number, since it uses less digits than its factorization.

6688089408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The square root of 6688089408 is about 81780.7398352448. The cubic root of 6688089408 is about 1884.0858593856.

The spelling of 6688089408 in words is "six billion, six hundred eighty-eight million, eighty-nine thousand, four hundred eight".