6705105752352 has 192 divisors, whose sum is σ = 20478505791744. Its totient is φ = 1881257840640.

The previous prime is 6705105752237. The next prime is 6705105752377. The reversal of 6705105752352 is 2532575015076.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 24994678 + ... + 25261514.

It is an arithmetic number, because the mean of its divisors is an integer number (106658884332).

Almost surely, 2^{6705105752352} 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 6705105752352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239252895872).

6705105752352 is an abundant number, since it is smaller than the sum of its proper divisors (13773400039392).

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

6705105752352 is a wasteful number, since it uses less digits than its factorization.

6705105752352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267531 (or 267523 counting only the distinct ones).

The product of its (nonzero) digits is 2205000, while the sum is 48.

The spelling of 6705105752352 in words is "six trillion, seven hundred five billion, one hundred five million, seven hundred fifty-two thousand, three hundred fifty-two".