64576512 has 396 divisors, whose sum is σ = 254826936. Its totient is φ = 15482880.

The previous prime is 64576511. The next prime is 64576513. The reversal of 64576512 is 21567546.

It is a happy number.

64576512 is a `hidden beast` number, since 645 + 7 + 6 + 5 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (64576511) and next prime (64576513).

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×64576512² = 8340251804172288, which contains 22 as substring.

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

Its product of digits (50400) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64576511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4967418 + ... + 4967430.

Almost surely, 2^64576512 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 64576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127413468).

64576512 is an abundant number, since it is smaller than the sum of its proper divisors (190250424).

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

64576512 is a wasteful number, since it uses less digits than its factorization.

64576512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 64576512 is about 8035.9512193641. The cubic root of 64576512 is about 401.1974782042.

The spelling of 64576512 in words is "sixty-four million, five hundred seventy-six thousand, five hundred twelve".