4865788800 has 384 divisors, whose sum is σ = 17960160000. Its totient is φ = 1286461440.

The previous prime is 4865788789. The next prime is 4865788801. The reversal of 4865788800 is 88875684.

4865788800 is a `hidden beast` number, since 486 + 5 + 7 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4865788801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17193459 + ... + 17193741.

It is an arithmetic number, because the mean of its divisors is an integer number (46771250).

Almost surely, 2^4865788800 is an apocalyptic number.

4865788800 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 4865788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980080000).

4865788800 is an abundant number, since it is smaller than the sum of its proper divisors (13094371200).

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

4865788800 is a wasteful number, since it uses less digits than its factorization.

4865788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 4865788800 is about 69755.2062573110. The cubic root of 4865788800 is about 1694.5371122262.

The spelling of 4865788800 in words is "four billion, eight hundred sixty-five million, seven hundred eighty-eight thousand, eight hundred".