563638706064 has 720 divisors, whose sum is σ = 2068080967680. Its totient is φ = 147613052160.

The previous prime is 563638706039. The next prime is 563638706087. The reversal of 563638706064 is 460607836365.

563638706064 is a `hidden beast` number, since 563 + 6 + 3 + 8 + 70 + 6 + 0 + 6 + 4 = 666.

563638706064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 563638706064.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112209057 + ... + 112214079.

Almost surely, 2^563638706064 is an apocalyptic number.

563638706064 is a gapful number since it is divisible by the number (54) 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 563638706064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034040483840).

563638706064 is an abundant number, since it is smaller than the sum of its proper divisors (1504442261616).

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

563638706064 is a wasteful number, since it uses less digits than its factorization.

563638706064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 563638706064 in words is "five hundred sixty-three billion, six hundred thirty-eight million, seven hundred six thousand, sixty-four".