64428653584 has 135 divisors (see below), whose sum is σ = 136371244989. Its totient is φ = 29484660480.

The previous prime is 64428653581. The next prime is 64428653593. The reversal of 64428653584 is 48535682446.

64428653584 = 1³ + 2³ + ... + 712³.

The square root of 64428653584 is 253828.

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

It can be written as a sum of positive squares in only one way, i.e., 12371667984 + 52056985600 = 111228^2 + 228160^2 .

It is not an unprimeable number, because it can be changed into a prime (64428653581) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 723917412 + ... + 723917500.

Almost surely, 2^64428653584 is an apocalyptic number.

64428653584 is the 253828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64428653584

64428653584 is an abundant number, since it is smaller than the sum of its proper divisors (71942591405).

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

64428653584 is an equidigital number, since it uses as much as digits as its factorization.

64428653584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 55.

The spelling of 64428653584 in words is "sixty-four billion, four hundred twenty-eight million, six hundred fifty-three thousand, five hundred eighty-four".