563401814976 has 2688 divisors, whose sum is σ = 2490679296000. Its totient is φ = 122276044800.

The previous prime is 563401814953. The next prime is 563401814981. The reversal of 563401814976 is 679418104365.

563401814976 is a `hidden beast` number, since 56 + 3 + 401 + 81 + 49 + 76 = 666.

563401814976 is digitally balanced in base 7, 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7131668505 + ... + 7131668583.

It is an arithmetic number, because the mean of its divisors is an integer number (926592000).

Almost surely, 2^563401814976 is an apocalyptic number.

563401814976 is a gapful number since it is divisible by the number (56) 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 563401814976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245339648000).

563401814976 is an abundant number, since it is smaller than the sum of its proper divisors (1927277481024).

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

563401814976 is a wasteful number, since it uses less digits than its factorization.

563401814976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 563401814976 in words is "five hundred sixty-three billion, four hundred one million, eight hundred fourteen thousand, nine hundred seventy-six".