564746680380096 has 168 divisors, whose sum is σ = 1636473745683504. Its totient is φ = 186189562183680.

The previous prime is 564746680380073. The next prime is 564746680380097. The reversal of 564746680380096 is 690083086647465.

564746680380096 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 466 + 80 + 3 + 80 + 0 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (564746680380097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84557896 + ... + 90991928.

It is an arithmetic number, because the mean of its divisors is an integer number (9740915152878).

Almost surely, 2^{564746680380096} 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 564746680380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818236872841752).

564746680380096 is an abundant number, since it is smaller than the sum of its proper divisors (1071727065303408).

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

564746680380096 is a wasteful number, since it uses less digits than its factorization.

564746680380096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435719 (or 6435706 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 564746680380096 in words is "five hundred sixty-four trillion, seven hundred forty-six billion, six hundred eighty million, three hundred eighty thousand, ninety-six".