564778435200 has 1152 divisors, whose sum is σ = 2319234416640. Its totient is φ = 118195200000.

The previous prime is 564778435183. The next prime is 564778435213. The reversal of 564778435200 is 2534877465.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 752034825 + ... + 752035575.

It is an arithmetic number, because the mean of its divisors is an integer number (2013224320).

Almost surely, 2^564778435200 is an apocalyptic number.

564778435200 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 564778435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159617208320).

564778435200 is an abundant number, since it is smaller than the sum of its proper divisors (1754455981440).

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

564778435200 is a wasteful number, since it uses less digits than its factorization.

564778435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 564778435200 in words is "five hundred sixty-four billion, seven hundred seventy-eight million, four hundred thirty-five thousand, two hundred".