4784574873600 has 1350 divisors, whose sum is σ = 18866534109500. Its totient is φ = 1198427996160.

The previous prime is 4784574873541. The next prime is 4784574873607. The reversal of 4784574873600 is 63784754874.

4784574873600 is a `hidden beast` number, since 4 + 78 + 4 + 57 + 487 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1350).

It is not an unprimeable number, because it can be changed into a prime (4784574873607) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9588326151 + ... + 9588326649.

Almost surely, 2^{4784574873600} is an apocalyptic number.

4784574873600 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 4784574873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9433267054750).

4784574873600 is an abundant number, since it is smaller than the sum of its proper divisors (14081959235900).

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

4784574873600 is an equidigital number, since it uses as much as digits as its factorization.

4784574873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 4784574873600 in words is "four trillion, seven hundred eighty-four billion, five hundred seventy-four million, eight hundred seventy-three thousand, six hundred".