36785183920128 has 1248 divisors, whose sum is σ = 130120767608832. Its totient is φ = 10165085798400.

The previous prime is 36785183920127. The next prime is 36785183920151. The reversal of 36785183920128 is 82102938158763.

36785183920128 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 518 + 3 + 92 + 0 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36785183920127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37421346325 + ... + 37421347307.

It is an arithmetic number, because the mean of its divisors is an integer number (104263435584).

Almost surely, 2^{36785183920128} 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 36785183920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65060383804416).

36785183920128 is an abundant number, since it is smaller than the sum of its proper divisors (93335583688704).

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

36785183920128 is an equidigital number, since it uses as much as digits as its factorization.

36785183920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 36785183920128 in words is "thirty-six trillion, seven hundred eighty-five billion, one hundred eighty-three million, nine hundred twenty thousand, one hundred twenty-eight".