463827726337563 has 128 divisors (see below), whose sum is σ = 802033573017600. Its totient is φ = 259426925162496.

The previous prime is 463827726337559. The next prime is 463827726337579. The reversal of 463827726337563 is 365733627728364.

It is a happy number.

463827726337563 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 2 + 7 + 7 + 26 + 3 + 37 + 563 = 666.

It is not a de Polignac number, because 463827726337563 - 2² = 463827726337559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 463827726337491 and 463827726337500.

It is not an unprimeable number, because it can be changed into a prime (463827726337523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7875205731 + ... + 7875264627.

It is an arithmetic number, because the mean of its divisors is an integer number (6265887289200).

Almost surely, 2^{463827726337563} is an apocalyptic number.

463827726337563 is a deficient number, since it is larger than the sum of its proper divisors (338205846680037).

463827726337563 is a wasteful number, since it uses less digits than its factorization.

463827726337563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60818 (or 60812 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 72.

The spelling of 463827726337563 in words is "four hundred sixty-three trillion, eight hundred twenty-seven billion, seven hundred twenty-six million, three hundred thirty-seven thousand, five hundred sixty-three".