6687088128 has 240 divisors, whose sum is σ = 22155070080. Its totient is φ = 1902071808.

The previous prime is 6687088127. The next prime is 6687088153. The reversal of 6687088128 is 8218807866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6687088127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12224751 + ... + 12225297.

It is an arithmetic number, because the mean of its divisors is an integer number (92312792).

Almost surely, 2^6687088128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6687088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077535040).

6687088128 is an abundant number, since it is smaller than the sum of its proper divisors (15467981952).

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

6687088128 is a wasteful number, since it uses less digits than its factorization.

6687088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 6687088128 is about 81774.6178713175. The cubic root of 6687088128 is about 1883.9918319524.

The spelling of 6687088128 in words is "six billion, six hundred eighty-seven million, eighty-eight thousand, one hundred twenty-eight".