6705164816 has 80 divisors (see below), whose sum is σ = 15072368640. Its totient is φ = 2830239360.

The previous prime is 6705164813. The next prime is 6705164911. The reversal of 6705164816 is 6184615076.

It is not an unprimeable number, because it can be changed into a prime (6705164813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5193131 + ... + 5194421.

It is an arithmetic number, because the mean of its divisors is an integer number (188404608).

Almost surely, 2^6705164816 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 6705164816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536184320).

6705164816 is an abundant number, since it is smaller than the sum of its proper divisors (8367203824).

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

6705164816 is a wasteful number, since it uses less digits than its factorization.

6705164816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 6705164816 is about 81885.0707760578. The cubic root of 6705164816 is about 1885.6879210228.

The spelling of 6705164816 in words is "six billion, seven hundred five million, one hundred sixty-four thousand, eight hundred sixteen".