564201001260 has 864 divisors, whose sum is σ = 2089213439040. Its totient is φ = 126884911104.

The previous prime is 564201001253. The next prime is 564201001261. The reversal of 564201001260 is 62100102465.

564201001260 is a `hidden beast` number, since 5 + 642 + 0 + 1 + 0 + 0 + 12 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (564201001261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 661430994 + ... + 661431846.

It is an arithmetic number, because the mean of its divisors is an integer number (2418071110).

Almost surely, 2^564201001260 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 564201001260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044606719520).

564201001260 is an abundant number, since it is smaller than the sum of its proper divisors (1525012437780).

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

564201001260 is a wasteful number, since it uses less digits than its factorization.

564201001260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 564201001260 in words is "five hundred sixty-four billion, two hundred one million, one thousand, two hundred sixty".