36705884506368 has 1728 divisors, whose sum is σ = 136794186547200. Its totient is φ = 8517854822400.

The previous prime is 36705884506363. The next prime is 36705884506381. The reversal of 36705884506368 is 86360548850763.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (36705884506363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13450304428 + ... + 13450307156.

It is an arithmetic number, because the mean of its divisors is an integer number (79163302400).

Almost surely, 2^{36705884506368} 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 36705884506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397093273600).

36705884506368 is an abundant number, since it is smaller than the sum of its proper divisors (100088302040832).

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

36705884506368 is a wasteful number, since it uses less digits than its factorization.

36705884506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 69.

The spelling of 36705884506368 in words is "thirty-six trillion, seven hundred five billion, eight hundred eighty-four million, five hundred six thousand, three hundred sixty-eight".