575360064 has 112 divisors (see below), whose sum is σ = 1737360000. Its totient is φ = 186582528.

The previous prime is 575360063. The next prime is 575360069. The reversal of 575360064 is 460063575.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (575360063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59437 + ... + 68435.

Almost surely, 2^575360064 is an apocalyptic number.

575360064 is a gapful number since it is divisible by the number (54) 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 575360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868680000).

575360064 is an abundant number, since it is smaller than the sum of its proper divisors (1161999936).

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

575360064 is a wasteful number, since it uses less digits than its factorization.

575360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 575360064 is about 23986.6642949786. The cubic root of 575360064 is about 831.7252852892.

The spelling of 575360064 in words is "five hundred seventy-five million, three hundred sixty thousand, sixty-four".