36162130368 has 448 divisors, whose sum is σ = 121766543360. Its totient is φ = 9217732608.

The previous prime is 36162130337. The next prime is 36162130369. The reversal of 36162130368 is 86303126163.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36162130369) 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, 95414403 + ... + 95414781.

It is an arithmetic number, because the mean of its divisors is an integer number (271800320).

Almost surely, 2^36162130368 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 36162130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60883271680).

36162130368 is an abundant number, since it is smaller than the sum of its proper divisors (85604412992).

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

36162130368 is a wasteful number, since it uses less digits than its factorization.

36162130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 36162130368 in words is "thirty-six billion, one hundred sixty-two million, one hundred thirty thousand, three hundred sixty-eight".