575639064 has 384 divisors, whose sum is σ = 2149056000. Its totient is φ = 137168640.

The previous prime is 575639059. The next prime is 575639069. The reversal of 575639064 is 460936575.

575639064 is a `hidden beast` number, since 5 + 7 + 5 + 639 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (575639059) and next prime (575639069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575639069) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3531447 + ... + 3531609.

It is an arithmetic number, because the mean of its divisors is an integer number (5596500).

Almost surely, 2^575639064 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 575639064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074528000).

575639064 is an abundant number, since it is smaller than the sum of its proper divisors (1573416936).

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

575639064 is a wasteful number, since it uses less digits than its factorization.

575639064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 575639064 is about 23992.4793216541. The cubic root of 575639064 is about 831.8597019041.

The spelling of 575639064 in words is "five hundred seventy-five million, six hundred thirty-nine thousand, sixty-four".