36793192128 has 252 divisors, whose sum is σ = 124476805656. Its totient is φ = 9556377600.

The previous prime is 36793192091. The next prime is 36793192159. The reversal of 36793192128 is 82129139763.

It is a super-3 number, since 3×36793192128³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1122208 + ... + 1154528.

It is an arithmetic number, because the mean of its divisors is an integer number (493955578).

Almost surely, 2^36793192128 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 36793192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62238402828).

36793192128 is an abundant number, since it is smaller than the sum of its proper divisors (87683613528).

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

36793192128 is a wasteful number, since it uses less digits than its factorization.

36793192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32372 (or 32344 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The spelling of 36793192128 in words is "thirty-six billion, seven hundred ninety-three million, one hundred ninety-two thousand, one hundred twenty-eight".