563829004800 has 180 divisors, whose sum is σ = 2017788780150. Its totient is φ = 150354370560.

The previous prime is 563829004793. The next prime is 563829004807. The reversal of 563829004800 is 8400928365.

563829004800 is a `hidden beast` number, since 5 + 6 + 3 + 82 + 90 + 0 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (563829004793) and next prime (563829004807).

It can be written as a sum of positive squares in 3 ways, for example, as 512129159424 + 51699845376 = 715632^2 + 227376^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (563829004807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2331975 + ... + 2562374.

Almost surely, 2^563829004800 is an apocalyptic number.

563829004800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

563829004800 is an abundant number, since it is smaller than the sum of its proper divisors (1453959775350).

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

563829004800 is a wasteful number, since it uses less digits than its factorization.

563829004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894383 (or 4894359 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 563829004800 in words is "five hundred sixty-three billion, eight hundred twenty-nine million, four thousand, eight hundred".