36720000000000 has 1232 divisors, whose sum is σ = 143991207988560. Its totient is φ = 9216000000000.

The previous prime is 36719999999989. The next prime is 36720000000001. The reversal of 36720000000000 is 2763.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36720000000001) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 2159999999992 + ... + 2160000000008.

Almost surely, 2^{36720000000000} is an apocalyptic number.

36720000000000 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 36720000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995603994280).

36720000000000 is an abundant number, since it is smaller than the sum of its proper divisors (107271207988560).

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

36720000000000 is an frugal number, since it uses more digits than its factorization.

36720000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 36720000000000 its reverse (2763), we get a palindrome (36720000002763).

The spelling of 36720000000000 in words is "thirty-six trillion, seven hundred twenty billion", and thus it is an aban number.