564340541256 has 160 divisors (see below), whose sum is σ = 1706278305600. Its totient is φ = 173729888640.

The previous prime is 564340541249. The next prime is 564340541267. The reversal of 564340541256 is 652145043465.

564340541256 is a `hidden beast` number, since 5 + 6 + 4 + 340 + 54 + 1 + 256 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220630 + ... + 1085061.

It is an arithmetic number, because the mean of its divisors is an integer number (10664239410).

Almost surely, 2^564340541256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564340541256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853139152800).

564340541256 is an abundant number, since it is smaller than the sum of its proper divisors (1141937764344).

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

564340541256 is a wasteful number, since it uses less digits than its factorization.

564340541256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305761 (or 1305748 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 564340541256 in words is "five hundred sixty-four billion, three hundred forty million, five hundred forty-one thousand, two hundred fifty-six".