5968645920 has 192 divisors, whose sum is σ = 21155904000. Its totient is φ = 1571401728.

The previous prime is 5968645913. The next prime is 5968645927. The reversal of 5968645920 is 295468695.

It is a happy number.

5968645920 is a `hidden beast` number, since 5 + 96 + 86 + 459 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5968645913) and next prime (5968645927).

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 (5968645927) 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, 332536 + ... + 350024.

It is an arithmetic number, because the mean of its divisors is an integer number (110187000).

Almost surely, 2^5968645920 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 5968645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577952000).

5968645920 is an abundant number, since it is smaller than the sum of its proper divisors (15187258080).

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

5968645920 is a wasteful number, since it uses less digits than its factorization.

5968645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17592 (or 17578 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5968645920 is about 77257.0121089342. The cubic root of 5968645920 is about 1813.9498330297.

The spelling of 5968645920 in words is "five billion, nine hundred sixty-eight million, six hundred forty-five thousand, nine hundred twenty".