5968872720 has 320 divisors, whose sum is σ = 22186794240. Its totient is φ = 1469325312.

The previous prime is 5968872691. The next prime is 5968872769. The reversal of 5968872720 is 272788695.

It is a happy number.

5968872720 is a `hidden beast` number, since 596 + 8 + 8 + 7 + 27 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1944627 + ... + 1947693.

It is an arithmetic number, because the mean of its divisors is an integer number (69333732).

Almost surely, 2^5968872720 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 5968872720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093397120).

5968872720 is an abundant number, since it is smaller than the sum of its proper divisors (16217921520).

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

5968872720 is a wasteful number, since it uses less digits than its factorization.

5968872720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5968872720 is about 77258.4799229185. The cubic root of 5968872720 is about 1813.9728085709.

The spelling of 5968872720 in words is "five billion, nine hundred sixty-eight million, eight hundred seventy-two thousand, seven hundred twenty".