36927135168 has 448 divisors, whose sum is σ = 128232529920. Its totient is φ = 9093427200.

The previous prime is 36927135163. The next prime is 36927135187. The reversal of 36927135168 is 86153172963.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×36927135168² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36927135168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36927135163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44543778 + ... + 44544606.

Almost surely, 2^36927135168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36927135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64116264960).

36927135168 is an abundant number, since it is smaller than the sum of its proper divisors (91305394752).

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

36927135168 is a wasteful number, since it uses less digits than its factorization.

36927135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The spelling of 36927135168 in words is "thirty-six billion, nine hundred twenty-seven million, one hundred thirty-five thousand, one hundred sixty-eight".