36352074528 has 648 divisors, whose sum is σ = 134731806300. Its totient is φ = 9260697600.

The previous prime is 36352074527. The next prime is 36352074533. The reversal of 36352074528 is 82547025363.

36352074528 is a `hidden beast` number, since 3 + 6 + 3 + 52 + 0 + 74 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35183255184 + 1168819344 = 187572^2 + 34188^2 .

It is not an unprimeable number, because it can be changed into a prime (36352074523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 104160498 + ... + 104160846.

Almost surely, 2^36352074528 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 36352074528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67365903150).

36352074528 is an abundant number, since it is smaller than the sum of its proper divisors (98379731772).

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

36352074528 is a wasteful number, since it uses less digits than its factorization.

36352074528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 36352074528 in words is "thirty-six billion, three hundred fifty-two million, seventy-four thousand, five hundred twenty-eight".