564427648656 has 225 divisors, whose sum is σ = 1677729624043. Its totient is φ = 183193090560.

The previous prime is 564427648649. The next prime is 564427648663. The reversal of 564427648656 is 656846724465.

The square root of 564427648656 is 751284.

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

564427648656 is a `hidden beast` number, since 5 + 6 + 442 + 7 + 64 + 86 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (564427648649) and next prime (564427648663).

It can be written as a sum of positive squares in 4 ways, for example, as 28252231056 + 536175417600 = 168084^2 + 732240^2 .

It is a Duffinian number.

Its product of digits (232243200) is a multiple of the sum of its prime factors (1120).

It is a junction number, because it is equal to n+sod(n) for n = 564427648593 and 564427648602.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1108894930 + ... + 1108895438.

Almost surely, 2^564427648656 is an apocalyptic number.

564427648656 is the 751284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564427648656

564427648656 is an abundant number, since it is smaller than the sum of its proper divisors (1113301975387).

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

564427648656 is an frugal number, since it uses more digits than its factorization.

564427648656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 555 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 564427648656 in words is "five hundred sixty-four billion, four hundred twenty-seven million, six hundred forty-eight thousand, six hundred fifty-six".