36956706352020 has 1296 divisors, whose sum is σ = 149764490431920. Its totient is φ = 7286416736256.

The previous prime is 36956706352009. The next prime is 36956706352021. The reversal of 36956706352020 is 2025360765963.

36956706352020 is a `hidden beast` number, since 3 + 6 + 9 + 56 + 7 + 0 + 63 + 520 + 2 + 0 = 666.

36956706352020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 26351015288976 + 10605691063044 = 5133324^2 + 3256638^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36956706352021) 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 431 ways as a sum of consecutive naturals, for example, 72606495526 + ... + 72606496034.

It is an arithmetic number, because the mean of its divisors is an integer number (115559020395).

Almost surely, 2^{36956706352020} is an apocalyptic number.

36956706352020 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 36956706352020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74882245215960).

36956706352020 is an abundant number, since it is smaller than the sum of its proper divisors (112807784079900).

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

36956706352020 is a wasteful number, since it uses less digits than its factorization.

36956706352020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 36956706352020 in words is "thirty-six trillion, nine hundred fifty-six billion, seven hundred six million, three hundred fifty-two thousand, twenty".