36505643328 has 448 divisors, whose sum is σ = 141680793600. Its totient is φ = 8923668480.

The previous prime is 36505643299. The next prime is 36505643351. The reversal of 36505643328 is 82334650563.

36505643328 is a `hidden beast` number, since 3 + 6 + 50 + 564 + 3 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2253883 + ... + 2270021.

Almost surely, 2^36505643328 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 36505643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70840396800).

36505643328 is an abundant number, since it is smaller than the sum of its proper divisors (105175150272).

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

36505643328 is a wasteful number, since it uses less digits than its factorization.

36505643328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16195 (or 16179 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 36505643328 in words is "thirty-six billion, five hundred five million, six hundred forty-three thousand, three hundred twenty-eight".