36691200000 has 1296 divisors, whose sum is σ = 165932856180. Its totient is φ = 7741440000.

The previous prime is 36691199971. The next prime is 36691200023. The reversal of 36691200000 is 219663.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10025616384 + 26665583616 = 100128^2 + 163296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2822399994 + ... + 2822400006.

Almost surely, 2^36691200000 is an apocalyptic number.

36691200000 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 36691200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82966428090).

36691200000 is an abundant number, since it is smaller than the sum of its proper divisors (129241656180).

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

36691200000 is an equidigital number, since it uses as much as digits as its factorization.

36691200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 36691200000 its reverse (219663), we get a palindrome (36691419663).

It can be divided in two parts, 36 and 691200000, that multiplied together give a 5-th power (24883200000 = 120⁵).

The spelling of 36691200000 in words is "thirty-six billion, six hundred ninety-one million, two hundred thousand".