564071040000 has 1760 divisors, whose sum is σ = 2349204014080. Its totient is φ = 134369280000.

The previous prime is 564071039999. The next prime is 564071040011. The reversal of 564071040000 is 40170465.

564071040000 is a `hidden beast` number, since 5 + 640 + 7 + 10 + 4 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×564071040000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18195839985 + ... + 18195840015.

It is an arithmetic number, because the mean of its divisors is an integer number (1334775008).

Almost surely, 2^564071040000 is an apocalyptic number.

564071040000 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 564071040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174602007040).

564071040000 is an abundant number, since it is smaller than the sum of its proper divisors (1785132974080).

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

564071040000 is an frugal number, since it uses more digits than its factorization.

564071040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 564071040000 in words is "five hundred sixty-four billion, seventy-one million, forty thousand".