573034656768000 has 3584 divisors, whose sum is σ = 2345955847372800. Its totient is φ = 123986903040000.

The previous prime is 573034656767953. The next prime is 573034656768113. The reversal of 573034656768000 is 867656430375.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1731222527835 + ... + 1731222528165.

Almost surely, 2^{573034656768000} is an apocalyptic number.

573034656768000 is a gapful number since it is divisible by the number (50) 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 573034656768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172977923686400).

573034656768000 is an abundant number, since it is smaller than the sum of its proper divisors (1772921190604800).

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

573034656768000 is an equidigital number, since it uses as much as digits as its factorization.

573034656768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 573034656768000 in words is "five hundred seventy-three trillion, thirty-four billion, six hundred fifty-six million, seven hundred sixty-eight thousand".