36306575064032 has 192 divisors, whose sum is σ = 88197724016640. Its totient is φ = 14326478014464.

The previous prime is 36306575063959. The next prime is 36306575064047. The reversal of 36306575064032 is 23046057560363.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6456795173 + ... + 6456800795.

It is an arithmetic number, because the mean of its divisors is an integer number (459363145920).

Almost surely, 2^{36306575064032} is an apocalyptic number.

36306575064032 is a gapful number since it is divisible by the number (32) 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 36306575064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44098862008320).

36306575064032 is an abundant number, since it is smaller than the sum of its proper divisors (51891148952608).

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

36306575064032 is a wasteful number, since it uses less digits than its factorization.

36306575064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10905 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 50.

The spelling of 36306575064032 in words is "thirty-six trillion, three hundred six billion, five hundred seventy-five million, sixty-four thousand, thirty-two".