36609855120 has 360 divisors, whose sum is σ = 134426485440. Its totient is φ = 9246286080.

The previous prime is 36609855071. The next prime is 36609855137. The reversal of 36609855120 is 2155890663.

36609855120 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 98 + 551 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 9970885 + ... + 9974555.

It is an arithmetic number, because the mean of its divisors is an integer number (373406904).

Almost surely, 2^36609855120 is an apocalyptic number.

36609855120 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 36609855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67213242720).

36609855120 is an abundant number, since it is smaller than the sum of its proper divisors (97816630320).

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

36609855120 is an equidigital number, since it uses as much as digits as its factorization.

36609855120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 36609855120 in words is "thirty-six billion, six hundred nine million, eight hundred fifty-five thousand, one hundred twenty".