564487481782800 has 180 divisors, whose sum is σ = 1958954409858160. Its totient is φ = 150527993690880.

The previous prime is 564487481782771. The next prime is 564487481782813. The reversal of 564487481782800 is 8287184784465.

564487481782800 is a `hidden beast` number, since 5 + 6 + 44 + 87 + 481 + 7 + 8 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×564487481782800² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280297047 + ... + 282303753.

Almost surely, 2^{564487481782800} is an apocalyptic number.

564487481782800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564487481782800 is an abundant number, since it is smaller than the sum of its proper divisors (1394466928075360).

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

564487481782800 is a wasteful number, since it uses less digits than its factorization.

564487481782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084870 (or 2084856 counting only the distinct ones).

The product of its (nonzero) digits is 770703360, while the sum is 72.

The spelling of 564487481782800 in words is "five hundred sixty-four trillion, four hundred eighty-seven billion, four hundred eighty-one million, seven hundred eighty-two thousand, eight hundred".