564315402240 has 312 divisors, whose sum is σ = 1958845934448. Its totient is φ = 150269460480.

The previous prime is 564315402197. The next prime is 564315402317. The reversal of 564315402240 is 42204513465.

564315402240 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 1 + 5 + 402 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 564315402195 and 564315402204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161646895 + ... + 161650385.

It is an arithmetic number, because the mean of its divisors is an integer number (6278352354).

Almost surely, 2^564315402240 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 564315402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979422967224).

564315402240 is an abundant number, since it is smaller than the sum of its proper divisors (1394530532208).

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

564315402240 is a wasteful number, since it uses less digits than its factorization.

564315402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 564315402240 in words is "five hundred sixty-four billion, three hundred fifteen million, four hundred two thousand, two hundred forty".