564667614720 has 960 divisors, whose sum is σ = 2229584797440. Its totient is φ = 135829094400.

The previous prime is 564667614673. The next prime is 564667614733. The reversal of 564667614720 is 27416766465.

564667614720 is a `hidden beast` number, since 56 + 4 + 6 + 67 + 61 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×564667614720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1224875290 + ... + 1224875750.

It is an arithmetic number, because the mean of its divisors is an integer number (2322484164).

Almost surely, 2^564667614720 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 564667614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114792398720).

564667614720 is an abundant number, since it is smaller than the sum of its proper divisors (1664917182720).

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

564667614720 is a wasteful number, since it uses less digits than its factorization.

564667614720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 564667614720 in words is "five hundred sixty-four billion, six hundred sixty-seven million, six hundred fourteen thousand, seven hundred twenty".