36144305664 has 320 divisors, whose sum is σ = 103246725120. Its totient is φ = 11217346560.

The previous prime is 36144305657. The next prime is 36144305689. The reversal of 36144305664 is 46650344163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260030907 + ... + 260031045.

It is an arithmetic number, because the mean of its divisors is an integer number (322646016).

Almost surely, 2^36144305664 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 36144305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51623362560).

36144305664 is an abundant number, since it is smaller than the sum of its proper divisors (67102419456).

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

36144305664 is a wasteful number, since it uses less digits than its factorization.

36144305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 36144305664 in words is "thirty-six billion, one hundred forty-four million, three hundred five thousand, six hundred sixty-four".