64528192576 has 63 divisors (see below), whose sum is σ = 129652721263. Its totient is φ = 31864770560.

The previous prime is 64528192513. The next prime is 64528192583. The reversal of 64528192576 is 67529182546.

The square root of 64528192576 is 254024.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13372609600 + 51155582976 = 115640^2 + 226176^2 .

It is a Duffinian number.

Its product of digits (7257600) is a multiple of the sum of its prime factors (800).

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 229637556 + ... + 229637836.

Almost surely, 2^64528192576 is an apocalyptic number.

64528192576 is the 254024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64528192576

64528192576 is an abundant number, since it is smaller than the sum of its proper divisors (65124528687).

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

64528192576 is an frugal number, since it uses more digits than its factorization.

64528192576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 396 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The spelling of 64528192576 in words is "sixty-four billion, five hundred twenty-eight million, one hundred ninety-two thousand, five hundred seventy-six".