36661320192 has 480 divisors, whose sum is σ = 123600660480. Its totient is φ = 9591644160.

The previous prime is 36661320187. The next prime is 36661320193. The reversal of 36661320192 is 29102316663.

It is a self number, because there is not a number n which added to its sum of digits gives 36661320192.

It is not an unprimeable number, because it can be changed into a prime (36661320193) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 44330083 + ... + 44330909.

It is an arithmetic number, because the mean of its divisors is an integer number (257501376).

Almost surely, 2^36661320192 is an apocalyptic number.

36661320192 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 36661320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61800330240).

36661320192 is an abundant number, since it is smaller than the sum of its proper divisors (86939340288).

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

36661320192 is a wasteful number, since it uses less digits than its factorization.

36661320192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 36661320192 in words is "thirty-six billion, six hundred sixty-one million, three hundred twenty thousand, one hundred ninety-two".