4784939827200 has 1728 divisors, whose sum is σ = 19598147903880. Its totient is φ = 1150439915520.

The previous prime is 4784939827177. The next prime is 4784939827229. The reversal of 4784939827200 is 27289394874.

4784939827200 is a `hidden beast` number, since 4 + 78 + 493 + 9 + 8 + 2 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 111277670379 + ... + 111277670421.

Almost surely, 2^{4784939827200} is an apocalyptic number.

4784939827200 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 4784939827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9799073951940).

4784939827200 is an abundant number, since it is smaller than the sum of its proper divisors (14813208076680).

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

4784939827200 is an frugal number, since it uses more digits than its factorization.

4784939827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4784939827200 in words is "four trillion, seven hundred eighty-four billion, nine hundred thirty-nine million, eight hundred twenty-seven thousand, two hundred".