6956544672 has 432 divisors, whose sum is σ = 25826568768. Its totient is φ = 1725419520.

The previous prime is 6956544667. The next prime is 6956544701. The reversal of 6956544672 is 2764456596.

6956544672 is a `hidden beast` number, since 6 + 9 + 565 + 4 + 4 + 6 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11730808 + ... + 11731400.

It is an arithmetic number, because the mean of its divisors is an integer number (59783724).

Almost surely, 2^6956544672 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 6956544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913284384).

6956544672 is an abundant number, since it is smaller than the sum of its proper divisors (18870024096).

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

6956544672 is a wasteful number, since it uses less digits than its factorization.

6956544672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 639 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 6956544672 is about 83405.9031004401. The cubic root of 6956544672 is about 1908.9645321712.

The spelling of 6956544672 in words is "six billion, nine hundred fifty-six million, five hundred forty-four thousand, six hundred seventy-two".