36576668160 has 360 divisors, whose sum is σ = 132466498164. Its totient is φ = 9326592000.

The previous prime is 36576668159. The next prime is 36576668179. The reversal of 36576668160 is 6186667563.

It can be written as a sum of positive squares in 2 ways, for example, as 36477944064 + 98724096 = 190992^2 + 9936^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 36576668097 and 36576668106.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12186660 + ... + 12189660.

Almost surely, 2^36576668160 is an apocalyptic number.

36576668160 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 36576668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66233249082).

36576668160 is an abundant number, since it is smaller than the sum of its proper divisors (95889830004).

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

36576668160 is a wasteful number, since it uses less digits than its factorization.

36576668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 36576668160 in words is "thirty-six billion, five hundred seventy-six million, six hundred sixty-eight thousand, one hundred sixty".