5968272960 has 336 divisors, whose sum is σ = 23410413936. Its totient is φ = 1382547456.

The previous prime is 5968272929. The next prime is 5968272979. The reversal of 5968272960 is 692728695.

5968272960 is a `hidden beast` number, since 596 + 8 + 27 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 673091136 + 5295181824 = 25944^2 + 72768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5968272897 and 5968272906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631792 + ... + 641168.

It is an arithmetic number, because the mean of its divisors is an integer number (69673851).

Almost surely, 2^5968272960 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 5968272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705206968).

5968272960 is an abundant number, since it is smaller than the sum of its proper divisors (17442140976).

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

5968272960 is a wasteful number, since it uses less digits than its factorization.

5968272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5968272960 is about 77254.5983097446. The cubic root of 5968272960 is about 1813.9120497630.

The spelling of 5968272960 in words is "five billion, nine hundred sixty-eight million, two hundred seventy-two thousand, nine hundred sixty".