36183068064 has 960 divisors, whose sum is σ = 133762793472. Its totient is φ = 9443174400.

The previous prime is 36183068059. The next prime is 36183068071. The reversal of 36183068064 is 46086038163.

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 159 ways as a sum of consecutive naturals, for example, 540045759 + ... + 540045825.

Almost surely, 2^36183068064 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 36183068064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66881396736).

36183068064 is an abundant number, since it is smaller than the sum of its proper divisors (97579725408).

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

36183068064 is a wasteful number, since it uses less digits than its factorization.

36183068064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 36183068064 in words is "thirty-six billion, one hundred eighty-three million, sixty-eight thousand, sixty-four".