6960459168 has 192 divisors, whose sum is σ = 22223577600. Its totient is φ = 2106362880.

The previous prime is 6960459161. The next prime is 6960459199. The reversal of 6960459168 is 8619540696.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6960459161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680073 + ... + 690231.

It is an arithmetic number, because the mean of its divisors is an integer number (115747800).

Almost surely, 2^6960459168 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 6960459168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11111788800).

6960459168 is an abundant number, since it is smaller than the sum of its proper divisors (15263118432).

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

6960459168 is a wasteful number, since it uses less digits than its factorization.

6960459168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 6960459168 is about 83429.3663406357. The cubic root of 6960459168 is about 1909.3225275640.

The spelling of 6960459168 in words is "six billion, nine hundred sixty million, four hundred fifty-nine thousand, one hundred sixty-eight".