6689106395136 has 768 divisors, whose sum is σ = 22600880340480. Its totient is φ = 1885690920960.

The previous prime is 6689106395129. The next prime is 6689106395183. The reversal of 6689106395136 is 6315936019866.

6689106395136 is a `hidden beast` number, since 6 + 6 + 8 + 9 + 106 + 3 + 9 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2760670021 + ... + 2760672443.

It is an arithmetic number, because the mean of its divisors is an integer number (29428229610).

Almost surely, 2^{6689106395136} is an apocalyptic number.

6689106395136 is a gapful number since it is divisible by the number (66) 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 6689106395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11300440170240).

6689106395136 is an abundant number, since it is smaller than the sum of its proper divisors (15911773945344).

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

6689106395136 is a wasteful number, since it uses less digits than its factorization.

6689106395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 6689106395136 in words is "six trillion, six hundred eighty-nine billion, one hundred six million, three hundred ninety-five thousand, one hundred thirty-six".