36450505728 has 528 divisors, whose sum is σ = 132331180800. Its totient is φ = 9602482176.

The previous prime is 36450505717. The next prime is 36450505747. The reversal of 36450505728 is 82750505463.

36450505728 is a `hidden beast` number, since 36 + 45 + 0 + 5 + 0 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41093701 + ... + 41094587.

Almost surely, 2^36450505728 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 36450505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66165590400).

36450505728 is an abundant number, since it is smaller than the sum of its proper divisors (95880675072).

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

36450505728 is a wasteful number, since it uses less digits than its factorization.

36450505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 36450505728 in words is "thirty-six billion, four hundred fifty million, five hundred five thousand, seven hundred twenty-eight".