564375051240 has 512 divisors, whose sum is σ = 2293459660800. Its totient is φ = 107291197440.

The previous prime is 564375051239. The next prime is 564375051257. The reversal of 564375051240 is 42150573465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 564375051192 and 564375051201.

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, 13552771 + ... + 13594349.

It is an arithmetic number, because the mean of its divisors is an integer number (4479413400).

Almost surely, 2^564375051240 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 564375051240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146729830400).

564375051240 is an abundant number, since it is smaller than the sum of its proper divisors (1729084609560).

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

564375051240 is a wasteful number, since it uses less digits than its factorization.

564375051240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41737 (or 41733 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 564375051240 in words is "five hundred sixty-four billion, three hundred seventy-five million, fifty-one thousand, two hundred forty".