564653306880 has 880 divisors, whose sum is σ = 2193088068864. Its totient is φ = 138669096960.

The previous prime is 564653306873. The next prime is 564653306891. The reversal of 564653306880 is 88603356465.

It is a happy number.

564653306880 is a `hidden beast` number, since 5 + 6 + 46 + 533 + 0 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1310100265 + ... + 1310100695.

Almost surely, 2^564653306880 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 564653306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096544034432).

564653306880 is an abundant number, since it is smaller than the sum of its proper divisors (1628434761984).

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

564653306880 is an frugal number, since it uses more digits than its factorization.

564653306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 564653306880 in words is "five hundred sixty-four billion, six hundred fifty-three million, three hundred six thousand, eight hundred eighty".