6705160128 has 448 divisors, whose sum is σ = 22238208000. Its totient is φ = 1970749440.

The previous prime is 6705160127. The next prime is 6705160171. The reversal of 6705160128 is 8210615076.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6705160092 and 6705160101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6705160127) 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 63 ways as a sum of consecutive naturals, for example, 33694173 + ... + 33694371.

Almost surely, 2^6705160128 is an apocalyptic number.

6705160128 is a gapful number since it is divisible by the number (68) 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 6705160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119104000).

6705160128 is an abundant number, since it is smaller than the sum of its proper divisors (15533047872).

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

6705160128 is a wasteful number, since it uses less digits than its factorization.

6705160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 6705160128 is about 81885.0421505662. The cubic root of 6705160128 is about 1885.6874815552.

The spelling of 6705160128 in words is "six billion, seven hundred five million, one hundred sixty thousand, one hundred twenty-eight".