36683997957120 has 176 divisors, whose sum is σ = 117389401688160. Its totient is φ = 9777569857536.

The previous prime is 36683997957097. The next prime is 36683997957127. The reversal of 36683997957120 is 2175979938663.

It is a super-2 number, since 2×36683997957120² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36683997957127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30576904 + ... + 31753976.

Almost surely, 2^{36683997957120} is an apocalyptic number.

36683997957120 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 36683997957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58694700844080).

36683997957120 is an abundant number, since it is smaller than the sum of its proper divisors (80705403731040).

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

36683997957120 is a wasteful number, since it uses less digits than its factorization.

36683997957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179130 (or 1179112 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 75.

The spelling of 36683997957120 in words is "thirty-six trillion, six hundred eighty-three billion, nine hundred ninety-seven million, nine hundred fifty-seven thousand, one hundred twenty".