64009575 has 192 divisors, whose sum is σ = 152371200. Its totient is φ = 25660800.

The previous prime is 64009567. The next prime is 64009609. The reversal of 64009575 is 57590046.

64009575 is a `hidden beast` number, since 640 + 0 + 9 + 5 + 7 + 5 = 666.

It is not a de Polignac number, because 64009575 - 2³ = 64009567 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2064810 + ... + 2064840.

It is an arithmetic number, because the mean of its divisors is an integer number (793600).

Almost surely, 2^64009575 is an apocalyptic number.

64009575 is an abundant number, since it is smaller than the sum of its proper divisors (88361625).

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

64009575 is a wasteful number, since it uses less digits than its factorization.

64009575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 64009575 is about 8000.5984151187. The cubic root of 64009575 is about 400.0199469220.

The spelling of 64009575 in words is "sixty-four million, nine thousand, five hundred seventy-five".