36808480863 has 192 divisors, whose sum is σ = 71074713600. Its totient is φ = 18610845120.

The previous prime is 36808480861. The next prime is 36808480879.

It is a happy number.

36808480863 is a `hidden beast` number, since 3 + 6 + 80 + 8 + 480 + 86 + 3 = 666.

36808480863 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36808480863 - 2¹ = 36808480861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36808480861) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 139956070 + ... + 139956332.

It is an arithmetic number, because the mean of its divisors is an integer number (370180800).

Almost surely, 2^36808480863 is an apocalyptic number.

36808480863 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36808480863 is a deficient number, since it is larger than the sum of its proper divisors (34266232737).

36808480863 is a wasteful number, since it uses less digits than its factorization.

36808480863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 36808480863 in words is "thirty-six billion, eight hundred eight million, four hundred eighty thousand, eight hundred sixty-three".