5968740960 has 864 divisors, whose sum is σ = 26571216672. Its totient is φ = 1254113280.

The previous prime is 5968740941. The next prime is 5968740979. The reversal of 5968740960 is 690478695.

5968740960 is a `hidden beast` number, since 596 + 8 + 7 + 40 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5968740941) and next prime (5968740979).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 5968740897 and 5968740906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766440 + ... + 24766680.

It is an arithmetic number, because the mean of its divisors is an integer number (30753723).

Almost surely, 2^5968740960 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 5968740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285608336).

5968740960 is an abundant number, since it is smaller than the sum of its proper divisors (20602475712).

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

5968740960 is a wasteful number, since it uses less digits than its factorization.

5968740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 271 counting only the distinct ones).

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

The square root of 5968740960 is about 77257.6271962840. The cubic root of 5968740960 is about 1813.9594609463.

The spelling of 5968740960 in words is "five billion, nine hundred sixty-eight million, seven hundred forty thousand, nine hundred sixty".