564014004120 has 768 divisors, whose sum is σ = 2365085952000. Its totient is φ = 118743625728.

The previous prime is 564014004109. The next prime is 564014004143. The reversal of 564014004120 is 21400410465.

564014004120 is a `hidden beast` number, since 5 + 640 + 1 + 4 + 0 + 0 + 4 + 12 + 0 = 666.

564014004120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564014004120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42276411 + ... + 42289749.

It is an arithmetic number, because the mean of its divisors is an integer number (3079539000).

Almost surely, 2^564014004120 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 564014004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182542976000).

564014004120 is an abundant number, since it is smaller than the sum of its proper divisors (1801071947880).

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

564014004120 is a wasteful number, since it uses less digits than its factorization.

564014004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13437 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 564014004120 its reverse (21400410465), we get a palindrome (585414414585).

The spelling of 564014004120 in words is "five hundred sixty-four billion, fourteen million, four thousand, one hundred twenty".