36798995736000 has 1792 divisors, whose sum is σ = 146379855697920. Its totient is φ = 9017140838400.

The previous prime is 36798995735993. The next prime is 36798995736001. The reversal of 36798995736000 is 63759989763.

36798995736000 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 8 + 9 + 9 + 5 + 7 + 3 + 600 + 0 = 666.

36798995736000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 36798995736000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36798995736001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28681991359 + ... + 28681992641.

Almost surely, 2^{36798995736000} is an apocalyptic number.

36798995736000 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 36798995736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73189927848960).

36798995736000 is an abundant number, since it is smaller than the sum of its proper divisors (109580859961920).

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

36798995736000 is a wasteful number, since it uses less digits than its factorization.

36798995736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 36798995736000 in words is "thirty-six trillion, seven hundred ninety-eight billion, nine hundred ninety-five million, seven hundred thirty-six thousand".