4705572484800 has 2016 divisors, whose sum is σ = 19785333657600. Its totient is φ = 1085736960000.

The previous prime is 4705572484799. The next prime is 4705572484807. The reversal of 4705572484800 is 84842755074.

4705572484800 is a `hidden beast` number, since 4 + 7 + 0 + 55 + 72 + 48 + 480 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4705572484807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11505066996 + ... + 11505067404.

It is an arithmetic number, because the mean of its divisors is an integer number (9814153600).

Almost surely, 2^{4705572484800} is an apocalyptic number.

4705572484800 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 4705572484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892666828800).

4705572484800 is an abundant number, since it is smaller than the sum of its proper divisors (15079761172800).

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

4705572484800 is a wasteful number, since it uses less digits than its factorization.

4705572484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 4705572484800 in words is "four trillion, seven hundred five billion, five hundred seventy-two million, four hundred eighty-four thousand, eight hundred".