564706485000 has 960 divisors, whose sum is σ = 2301199380480. Its totient is φ = 127020960000.

The previous prime is 564706484957. The next prime is 564706485001. The reversal of 564706485000 is 584607465.

564706485000 is a `hidden beast` number, since 564 + 7 + 0 + 6 + 4 + 85 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564706485001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 569834505 + ... + 569835495.

It is an arithmetic number, because the mean of its divisors is an integer number (2397082688).

Almost surely, 2^564706485000 is an apocalyptic number.

564706485000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564706485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150599690240).

564706485000 is an abundant number, since it is smaller than the sum of its proper divisors (1736492895480).

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

564706485000 is an equidigital number, since it uses as much as digits as its factorization.

564706485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 564706485000 in words is "five hundred sixty-four billion, seven hundred six million, four hundred eighty-five thousand".