64321582689 has 81 divisors (see below), whose sum is σ = 117157059513. Its totient is φ = 33891346944.

The previous prime is 64321582643. The next prime is 64321582693. The reversal of 64321582689 is 98628512346.

The square root of 64321582689 is 253617.

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

64321582689 is a `hidden beast` number, since 6 + 4 + 321 + 58 + 268 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47652707025 + 16668875664 = 218295^2 + 129108^2 .

It is not a de Polignac number, because 64321582689 - 2⁷ = 64321582561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64321582639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 69236977 + ... + 69237905.

Almost surely, 2^64321582689 is an apocalyptic number.

64321582689 is the 253617-th square number.

64321582689 is the 126809-th centered octagonal number.

It is an amenable number.

64321582689 is a deficient number, since it is larger than the sum of its proper divisors (52835476824).

64321582689 is an equidigital number, since it uses as much as digits as its factorization.

64321582689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 952 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

It can be divided in two parts, 643215 and 82689, that added together give a square (725904 = 852²).

The spelling of 64321582689 in words is "sixty-four billion, three hundred twenty-one million, five hundred eighty-two thousand, six hundred eighty-nine".