6705346752 has 168 divisors, whose sum is σ = 21346393680. Its totient is φ = 2063093760.

The previous prime is 6705346751. The next prime is 6705346777. The reversal of 6705346752 is 2576435076.

6705346752 is a `hidden beast` number, since 6 + 7 + 0 + 534 + 67 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6705346698 and 6705346707.

It is not an unprimeable number, because it can be changed into a prime (6705346751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 280552 + ... + 303512.

Almost surely, 2^6705346752 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 6705346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673196840).

6705346752 is an abundant number, since it is smaller than the sum of its proper divisors (14641046928).

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

6705346752 is a wasteful number, since it uses less digits than its factorization.

6705346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23008 (or 22979 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 6705346752 is about 81886.1816914185. The cubic root of 6705346752 is about 1885.7049761052.

The spelling of 6705346752 in words is "six billion, seven hundred five million, three hundred forty-six thousand, seven hundred fifty-two".