64524128256 has 585 divisors, whose sum is σ = 225781974431. Its totient is φ = 18435465216.

The previous prime is 64524128239. The next prime is 64524128257. The reversal of 64524128256 is 65282142546.

The square root of 64524128256 is 254016.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

64524128256 is a `hidden beast` number, since 64 + 52 + 412 + 82 + 56 = 666.

It is a Duffinian number.

Its product of digits (921600) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (64524128257) 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 44 ways as a sum of consecutive naturals, for example, 9217732605 + ... + 9217732611.

Almost surely, 2^64524128256 is an apocalyptic number.

64524128256 is the 254016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64524128256

64524128256 is an abundant number, since it is smaller than the sum of its proper divisors (161257846175).

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

64524128256 is an frugal number, since it uses more digits than its factorization.

64524128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 12 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 64524128256 in words is "sixty-four billion, five hundred twenty-four million, one hundred twenty-eight thousand, two hundred fifty-six".