564869096064 has 1440 divisors, whose sum is σ = 2200494057300. Its totient is φ = 142550876160.

The previous prime is 564869096063. The next prime is 564869096083. The reversal of 564869096064 is 460690968465.

564869096064 is a `hidden beast` number, since 5 + 6 + 486 + 9 + 0 + 96 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 494321486400 + 70547609664 = 703080^2 + 265608^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 564869095992 and 564869096010.

It is not an unprimeable number, because it can be changed into a prime (564869096063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6346843732 + ... + 6346843820.

Almost surely, 2^564869096064 is an apocalyptic number.

564869096064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564869096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100247028650).

564869096064 is an abundant number, since it is smaller than the sum of its proper divisors (1635624961236).

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

564869096064 is a wasteful number, since it uses less digits than its factorization.

564869096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 564869096064 in words is "five hundred sixty-four billion, eight hundred sixty-nine million, ninety-six thousand, sixty-four".