563985676800 has 1920 divisors, whose sum is σ = 2591434137600. Its totient is φ = 116970946560.

The previous prime is 563985676783. The next prime is 563985676817. The reversal of 563985676800 is 8676589365.

563985676800 is a `hidden beast` number, since 5 + 6 + 3 + 9 + 8 + 567 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (563985676783) and next prime (563985676817).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2484518287 + ... + 2484518513.

It is an arithmetic number, because the mean of its divisors is an integer number (1349705280).

Almost surely, 2^563985676800 is an apocalyptic number.

563985676800 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 563985676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295717068800).

563985676800 is an abundant number, since it is smaller than the sum of its proper divisors (2027448460800).

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

563985676800 is a wasteful number, since it uses less digits than its factorization.

563985676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 563985676800 in words is "five hundred sixty-three billion, nine hundred eighty-five million, six hundred seventy-six thousand, eight hundred".