36744550128 has 480 divisors, whose sum is σ = 130331658240. Its totient is φ = 9827136000.

The previous prime is 36744550121. The next prime is 36744550207. The reversal of 36744550128 is 82105544763.

36744550128 is a `hidden beast` number, since 3 + 6 + 74 + 4 + 550 + 1 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36744550121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15628153 + ... + 15630503.

It is an arithmetic number, because the mean of its divisors is an integer number (271524288).

Almost surely, 2^36744550128 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 36744550128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65165829120).

36744550128 is an abundant number, since it is smaller than the sum of its proper divisors (93587108112).

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

36744550128 is a wasteful number, since it uses less digits than its factorization.

36744550128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 36744550128 in words is "thirty-six billion, seven hundred forty-four million, five hundred fifty thousand, one hundred twenty-eight".