36576336000 has 128 divisors (see below), whose sum is σ = 121250712960. Its totient is φ = 9753676800.

The previous prime is 36576335993. The next prime is 36576336007. The reversal of 36576336000 is 63367563.

It is an interprime number because it is at equal distance from previous prime (36576335993) and next prime (36576336007).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 36576336000.

It is not an unprimeable number, because it can be changed into a prime (36576336007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333004 + ... + 429003.

It is an arithmetic number, because the mean of its divisors is an integer number (947271195).

Almost surely, 2^36576336000 is an apocalyptic number.

36576336000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36576336000 is an abundant number, since it is smaller than the sum of its proper divisors (84674376960).

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

36576336000 is an equidigital number, since it uses as much as digits as its factorization.

36576336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762039 (or 762017 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 39.

The spelling of 36576336000 in words is "thirty-six billion, five hundred seventy-six million, three hundred thirty-six thousand".