36828726144000 has 2112 divisors, whose sum is σ = 148774663544832. Its totient is φ = 8054194176000.

The previous prime is 36828726143929. The next prime is 36828726144017. The reversal of 36828726144000 is 44162782863.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60079487694 + ... + 60079488306.

Almost surely, 2^{36828726144000} is an apocalyptic number.

36828726144000 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 36828726144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74387331772416).

36828726144000 is an abundant number, since it is smaller than the sum of its proper divisors (111945937400832).

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

36828726144000 is a wasteful number, since it uses less digits than its factorization.

36828726144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 36828726144000 in words is "thirty-six trillion, eight hundred twenty-eight billion, seven hundred twenty-six million, one hundred forty-four thousand".