36828792000 has 2016 divisors, whose sum is σ = 182510362944. Its totient is φ = 6967296000.

The previous prime is 36828791999. The next prime is 36828792037. The reversal of 36828792000 is 29782863.

36828792000 is a `hidden beast` number, since 368 + 2 + 87 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 504503964 + ... + 504504036.

It is an arithmetic number, because the mean of its divisors is an integer number (90530934).

Almost surely, 2^36828792000 is an apocalyptic number.

36828792000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36828792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91255181472).

36828792000 is an abundant number, since it is smaller than the sum of its proper divisors (145681570944).

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

36828792000 is a wasteful number, since it uses less digits than its factorization.

36828792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 36828 and 792000, that added together give a palindrome (828828).

The spelling of 36828792000 in words is "thirty-six billion, eight hundred twenty-eight million, seven hundred ninety-two thousand".