5968468800 has 1176 divisors, whose sum is σ = 27264701376. Its totient is φ = 1254113280.

The previous prime is 5968468787. The next prime is 5968468823. The reversal of 5968468800 is 88648695.

It is a happy number.

5968468800 is a `hidden beast` number, since 596 + 8 + 46 + 8 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 138801579 + ... + 138801621.

It is a vampire number, since it can be written as 60480 ⋅ 98685 (with its own digits).

Almost surely, 2^5968468800 is an apocalyptic number.

5968468800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5968468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632350688).

5968468800 is an abundant number, since it is smaller than the sum of its proper divisors (21296232576).

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

5968468800 is a wasteful number, since it uses less digits than its factorization.

5968468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 5968468800 is about 77255.8657967148. The cubic root of 5968468800 is about 1813.9318898213.

The spelling of 5968468800 in words is "five billion, nine hundred sixty-eight million, four hundred sixty-eight thousand, eight hundred".