36640084104 has 256 divisors, whose sum is σ = 113918112000. Its totient is φ = 10834145280.

The previous prime is 36640084093. The next prime is 36640084121. The reversal of 36640084104 is 40148004663.

36640084104 is a `hidden beast` number, since 3 + 6 + 640 + 0 + 8 + 4 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19624179 + ... + 19626045.

It is an arithmetic number, because the mean of its divisors is an integer number (444992625).

Almost surely, 2^36640084104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36640084104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56959056000).

36640084104 is an abundant number, since it is smaller than the sum of its proper divisors (77278027896).

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

36640084104 is a wasteful number, since it uses less digits than its factorization.

36640084104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 36640084104 its reverse (40148004663), we get a palindrome (76788088767).

The spelling of 36640084104 in words is "thirty-six billion, six hundred forty million, eighty-four thousand, one hundred four".