562407812064 has 288 divisors, whose sum is σ = 1908966818304. Its totient is φ = 153566899200.

The previous prime is 562407812053. The next prime is 562407812077. The reversal of 562407812064 is 460218704265.

562407812064 is a `hidden beast` number, since 5 + 62 + 407 + 8 + 120 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 60320107 + ... + 60329429.

It is an arithmetic number, because the mean of its divisors is an integer number (6628357008).

Almost surely, 2^562407812064 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 562407812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954483409152).

562407812064 is an abundant number, since it is smaller than the sum of its proper divisors (1346559006240).

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

562407812064 is a wasteful number, since it uses less digits than its factorization.

562407812064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10670 (or 10659 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 562407812064 in words is "five hundred sixty-two billion, four hundred seven million, eight hundred twelve thousand, sixty-four".