564075385477632 has 1440 divisors, whose sum is σ = 2092715798741568. Its totient is φ = 150713648676864.

The previous prime is 564075385477621. The next prime is 564075385477693. The reversal of 564075385477632 is 236774583570465.

564075385477632 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 7 + 5 + 3 + 8 + 547 + 76 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16271231563 + ... + 16271266229.

Almost surely, 2^{564075385477632} 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 564075385477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046357899370784).

564075385477632 is an abundant number, since it is smaller than the sum of its proper divisors (1528640413263936).

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

564075385477632 is a wasteful number, since it uses less digits than its factorization.

564075385477632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34888 (or 34853 counting only the distinct ones).

The product of its (nonzero) digits is 3556224000, while the sum is 72.

The spelling of 564075385477632 in words is "five hundred sixty-four trillion, seventy-five billion, three hundred eighty-five million, four hundred seventy-seven thousand, six hundred thirty-two".