6945468160 has 144 divisors (see below), whose sum is σ = 17336390400. Its totient is φ = 2663055360.

The previous prime is 6945468151. The next prime is 6945468163. The reversal of 6945468160 is 618645496.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945468163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4483066 + ... + 4484614.

It is an arithmetic number, because the mean of its divisors is an integer number (120391600).

Almost surely, 2^6945468160 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 6945468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668195200).

6945468160 is an abundant number, since it is smaller than the sum of its proper divisors (10390922240).

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

6945468160 is a wasteful number, since it uses less digits than its factorization.

6945468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 6945468160 is about 83339.4754003167. The cubic root of 6945468160 is about 1907.9508152581.

The spelling of 6945468160 in words is "six billion, nine hundred forty-five million, four hundred sixty-eight thousand, one hundred sixty".