564344324623200 has 288 divisors, whose sum is σ = 2003969080270080. Its totient is φ = 136808445491200.

The previous prime is 564344324623171. The next prime is 564344324623243. The reversal of 564344324623200 is 2326423443465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 564344324623200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986167542 + ... + 1986451658.

It is an arithmetic number, because the mean of its divisors is an integer number (6958225973160).

Almost surely, 2^{564344324623200} is an apocalyptic number.

564344324623200 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 564344324623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001984540135040).

564344324623200 is an abundant number, since it is smaller than the sum of its proper divisors (1439624755646880).

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

564344324623200 is a wasteful number, since it uses less digits than its factorization.

564344324623200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359390 (or 359377 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 48.

The spelling of 564344324623200 in words is "five hundred sixty-four trillion, three hundred forty-four billion, three hundred twenty-four million, six hundred twenty-three thousand, two hundred".