36639056160 has 288 divisors, whose sum is σ = 149174161920. Its totient is φ = 8374593024.

The previous prime is 36639056137. The next prime is 36639056161. The reversal of 36639056160 is 6165093663.

36639056160 is a `hidden beast` number, since 3 + 6 + 639 + 0 + 5 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (36639056161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125137 + ... + 298223.

It is an arithmetic number, because the mean of its divisors is an integer number (517965840).

Almost surely, 2^36639056160 is an apocalyptic number.

36639056160 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 36639056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74587080960).

36639056160 is an abundant number, since it is smaller than the sum of its proper divisors (112535105760).

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

36639056160 is a wasteful number, since it uses less digits than its factorization.

36639056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173125 (or 173104 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 36639056160 in words is "thirty-six billion, six hundred thirty-nine million, fifty-six thousand, one hundred sixty".