6688585031040 has 1536 divisors, whose sum is σ = 26769972297600. Its totient is φ = 1596307046400.

The previous prime is 6688585031003. The next prime is 6688585031087. The reversal of 6688585031040 is 401305858866.

6688585031040 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 585 + 0 + 3 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12363373170 + ... + 12363373710.

Almost surely, 2^{6688585031040} is an apocalyptic number.

6688585031040 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 6688585031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384986148800).

6688585031040 is an abundant number, since it is smaller than the sum of its proper divisors (20081387266560).

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

6688585031040 is an equidigital number, since it uses as much as digits as its factorization.

6688585031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 6688585031040 in words is "six trillion, six hundred eighty-eight billion, five hundred eighty-five million, thirty-one thousand, forty".