563704946925120 has 4032 divisors, whose sum is σ = 2679343992299520. Its totient is φ = 105036632064000.

The previous prime is 563704946925077. The next prime is 563704946925121. The reversal of 563704946925120 is 21529649407365.

It is a happy number.

563704946925120 is a `hidden beast` number, since 5 + 6 + 3 + 7 + 0 + 49 + 469 + 2 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×563704946925120² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (563704946925121) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1148075248075 + ... + 1148075248565.

It is an arithmetic number, because the mean of its divisors is an integer number (664519839360).

Almost surely, 2^{563704946925120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563704946925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339671996149760).

563704946925120 is an abundant number, since it is smaller than the sum of its proper divisors (2115639045374400).

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

563704946925120 is a wasteful number, since it uses less digits than its factorization.

563704946925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 563704946925120 in words is "five hundred sixty-three trillion, seven hundred four billion, nine hundred forty-six million, nine hundred twenty-five thousand, one hundred twenty".