564869464473600 has 4320 divisors, whose sum is σ = 2587403426832000. Its totient is φ = 119681423769600.

The previous prime is 564869464473583. The next prime is 564869464473649. The reversal of 564869464473600 is 6374464968465.

564869464473600 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 6 + 9 + 4 + 6 + 4 + 4 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 330526309546 + ... + 330526311254.

Almost surely, 2^{564869464473600} is an apocalyptic number.

564869464473600 is a gapful number since it is divisible by the number (50) 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 564869464473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293701713416000).

564869464473600 is an abundant number, since it is smaller than the sum of its proper divisors (2022533962358400).

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

564869464473600 is a wasteful number, since it uses less digits than its factorization.

564869464473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 72.

The spelling of 564869464473600 in words is "five hundred sixty-four trillion, eight hundred sixty-nine billion, four hundred sixty-four million, four hundred seventy-three thousand, six hundred".