6706007120 has 20 divisors (see below), whose sum is σ = 15591466740. Its totient is φ = 2682402816.

The previous prime is 6706007111. The next prime is 6706007129. The reversal of 6706007120 is 217006076.

It is an interprime number because it is at equal distance from previous prime (6706007111) and next prime (6706007129).

It can be written as a sum of positive squares in 2 ways, for example, as 1649659456 + 5056347664 = 40616^2 + 71108^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6706007129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41912465 + ... + 41912624.

It is an arithmetic number, because the mean of its divisors is an integer number (779573337).

Almost surely, 2^6706007120 is an apocalyptic number.

It is an amenable number.

6706007120 is an abundant number, since it is smaller than the sum of its proper divisors (8885459620).

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

6706007120 is a wasteful number, since it uses less digits than its factorization.

6706007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83825102 (or 83825096 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 6706007120 is about 81890.2138231425. The cubic root of 6706007120 is about 1885.7668778677.

The spelling of 6706007120 in words is "six billion, seven hundred six million, seven thousand, one hundred twenty".