564194211840 has 1536 divisors, whose sum is σ = 2398346496000. Its totient is φ = 124694691840.

The previous prime is 564194211839. The next prime is 564194211853. The reversal of 564194211840 is 48112491465.

564194211840 is a `hidden beast` number, since 5 + 6 + 41 + 9 + 421 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9249085410 + ... + 9249085470.

It is an arithmetic number, because the mean of its divisors is an integer number (1561423500).

Almost surely, 2^564194211840 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 564194211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199173248000).

564194211840 is an abundant number, since it is smaller than the sum of its proper divisors (1834152284160).

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

564194211840 is an frugal number, since it uses more digits than its factorization.

564194211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 564194211840 in words is "five hundred sixty-four billion, one hundred ninety-four million, two hundred eleven thousand, eight hundred forty".