36815134720000 has 2040 divisors, whose sum is σ = 123512902981776. Its totient is φ = 10833887232000.

The previous prime is 36815134719967. The next prime is 36815134720009. The reversal of 36815134720000 is 2743151863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36815134720009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 443555839959 + ... + 443555840041.

Almost surely, 2^{36815134720000} 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 36815134720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61756451490888).

36815134720000 is an abundant number, since it is smaller than the sum of its proper divisors (86697768261776).

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

36815134720000 is an frugal number, since it uses more digits than its factorization.

36815134720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 36815134720000 its reverse (2743151863), we get a palindrome (36817877871863).

The spelling of 36815134720000 in words is "thirty-six trillion, eight hundred fifteen billion, one hundred thirty-four million, seven hundred twenty thousand".