564773684308416 has 168 divisors, whose sum is σ = 1766161583491968. Its totient is φ = 171126661440000.

The previous prime is 564773684308403. The next prime is 564773684308417. The reversal of 564773684308416 is 614803486377465.

564773684308416 is a `hidden beast` number, since 5 + 6 + 4 + 77 + 36 + 8 + 430 + 84 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564773684308417) 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, 59926171 + ... + 68707301.

Almost surely, 2^{564773684308416} 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 564773684308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883080791745984).

564773684308416 is an abundant number, since it is smaller than the sum of its proper divisors (1201387899183552).

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

564773684308416 is a wasteful number, since it uses less digits than its factorization.

564773684308416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791311 (or 8791298 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 72.

The spelling of 564773684308416 in words is "five hundred sixty-four trillion, seven hundred seventy-three billion, six hundred eighty-four million, three hundred eight thousand, four hundred sixteen".