4865968800 has 864 divisors, whose sum is σ = 21877599744. Its totient is φ = 988416000.

The previous prime is 4865968787. The next prime is 4865968801. The reversal of 4865968800 is 88695684.

It is a happy number.

4865968800 is a `hidden beast` number, since 48 + 6 + 596 + 8 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4865968801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37144735 + ... + 37144865.

It is an arithmetic number, because the mean of its divisors is an integer number (25321296).

Almost surely, 2^4865968800 is an apocalyptic number.

4865968800 is a gapful number since it is divisible by the number (40) 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 4865968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938799872).

4865968800 is an abundant number, since it is smaller than the sum of its proper divisors (17011630944).

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

4865968800 is a wasteful number, since it uses less digits than its factorization.

4865968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

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

The square root of 4865968800 is about 69756.4964716549. The cubic root of 4865968800 is about 1694.5580072912.

The spelling of 4865968800 in words is "four billion, eight hundred sixty-five million, nine hundred sixty-eight thousand, eight hundred".