6705881561088 has 288 divisors, whose sum is σ = 20414500732080. Its totient is φ = 2198639738880.

The previous prime is 6705881561083. The next prime is 6705881561153. The reversal of 6705881561088 is 8801651885076.

6705881561088 is a `hidden beast` number, since 6 + 7 + 0 + 5 + 8 + 8 + 1 + 5 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6705881561088² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6705881561083) 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, 30247056 + ... + 30467952.

Almost surely, 2^{6705881561088} 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 6705881561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207250366040).

6705881561088 is an abundant number, since it is smaller than the sum of its proper divisors (13708619170992).

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

6705881561088 is an equidigital number, since it uses as much as digits as its factorization.

6705881561088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220995 (or 220963 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 6705881561088 in words is "six trillion, seven hundred five billion, eight hundred eighty-one million, five hundred sixty-one thousand, eighty-eight".