573705468000 has 1728 divisors, whose sum is σ = 2533333211136. Its totient is φ = 120206592000.

The previous prime is 573705467957. The next prime is 573705468029. The reversal of 573705468000 is 864507375.

573705468000 is a `hidden beast` number, since 573 + 70 + 5 + 4 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5569955949 + ... + 5569956051.

It is an arithmetic number, because the mean of its divisors is an integer number (1466049312).

Almost surely, 2^573705468000 is an apocalyptic number.

573705468000 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 573705468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266666605568).

573705468000 is an abundant number, since it is smaller than the sum of its proper divisors (1959627743136).

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

573705468000 is a wasteful number, since it uses less digits than its factorization.

573705468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 573705468000 in words is "five hundred seventy-three billion, seven hundred five million, four hundred sixty-eight thousand".