36327638708928 has 336 divisors, whose sum is σ = 119366507520000. Its totient is φ = 10347545198592.

The previous prime is 36327638708923. The next prime is 36327638708981. The reversal of 36327638708928 is 82980783672363.

It is a happy number.

36327638708928 is a `hidden beast` number, since 363 + 2 + 76 + 38 + 70 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36327638708923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4844327323 + ... + 4844334821.

Almost surely, 2^{36327638708928} 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 36327638708928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59683253760000).

36327638708928 is an abundant number, since it is smaller than the sum of its proper divisors (83038868811072).

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

36327638708928 is a wasteful number, since it uses less digits than its factorization.

36327638708928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11044 (or 11031 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 36327638708928 in words is "thirty-six trillion, three hundred twenty-seven billion, six hundred thirty-eight million, seven hundred eight thousand, nine hundred twenty-eight".