575318470320 has 480 divisors, whose sum is σ = 2233972016640. Its totient is φ = 131135938560.

The previous prime is 575318470319. The next prime is 575318470327. The reversal of 575318470320 is 23074813575.

575318470320 is a `hidden beast` number, since 5 + 7 + 5 + 318 + 4 + 7 + 0 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (575318470327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216365151 + ... + 216367809.

It is an arithmetic number, because the mean of its divisors is an integer number (4654108368).

Almost surely, 2^575318470320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575318470320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116986008320).

575318470320 is an abundant number, since it is smaller than the sum of its proper divisors (1658653546320).

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

575318470320 is a wasteful number, since it uses less digits than its factorization.

575318470320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4304 counting only the distinct ones).

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

The spelling of 575318470320 in words is "five hundred seventy-five billion, three hundred eighteen million, four hundred seventy thousand, three hundred twenty".