36738686011392 has 240 divisors, whose sum is σ = 110292828625980. Its totient is φ = 12184054235136.

The previous prime is 36738686011387. The next prime is 36738686011403. The reversal of 36738686011392 is 29311068683763.

36738686011392 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 8 + 6 + 8 + 601 + 13 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32212616979456 + 4526069031936 = 5675616^2 + 2127456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32117838 + ... + 33242034.

Almost surely, 2^{36738686011392} is an apocalyptic number.

36738686011392 is a gapful number since it is divisible by the number (32) 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 36738686011392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55146414312990).

36738686011392 is an abundant number, since it is smaller than the sum of its proper divisors (73554142614588).

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

36738686011392 is a wasteful number, since it uses less digits than its factorization.

36738686011392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124428 (or 1124399 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 36738686011392 in words is "thirty-six trillion, seven hundred thirty-eight billion, six hundred eighty-six million, eleven thousand, three hundred ninety-two".