564469348847040 has 896 divisors, whose sum is σ = 2465534741483520. Its totient is φ = 118383647440896.

The previous prime is 564469348847039. The next prime is 564469348847069. The reversal of 564469348847040 is 40748843964465.

564469348847040 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 6 + 9 + 34 + 88 + 470 + 40 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 564469348847040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129152574 + ... + 133451586.

It is an arithmetic number, because the mean of its divisors is an integer number (2751712881120).

Almost surely, 2^{564469348847040} 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 564469348847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232767370741760).

564469348847040 is an abundant number, since it is smaller than the sum of its proper divisors (1901065392636480).

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

564469348847040 is a wasteful number, since it uses less digits than its factorization.

564469348847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299226 (or 4299210 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 72.

The spelling of 564469348847040 in words is "five hundred sixty-four trillion, four hundred sixty-nine billion, three hundred forty-eight million, eight hundred forty-seven thousand, forty".