564106732800 has 864 divisors, whose sum is σ = 2071546579200. Its totient is φ = 134302924800.

The previous prime is 564106732793. The next prime is 564106732807. The reversal of 564106732800 is 8237601465.

It is an interprime number because it is at equal distance from previous prime (564106732793) and next prime (564106732807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564106732807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2036486262 + ... + 2036486538.

Almost surely, 2^564106732800 is an apocalyptic number.

564106732800 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 564106732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035773289600).

564106732800 is an abundant number, since it is smaller than the sum of its proper divisors (1507439846400).

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

564106732800 is a wasteful number, since it uses less digits than its factorization.

564106732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 564106732800 in words is "five hundred sixty-four billion, one hundred six million, seven hundred thirty-two thousand, eight hundred".