36786189468 has 192 divisors, whose sum is σ = 103512407040. Its totient is φ = 9946202112.

The previous prime is 36786189467. The next prime is 36786189481. The reversal of 36786189468 is 86498168763.

It is a super-3 number, since 3×36786189468³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36786189399 and 36786189408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36786189467) 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 63 ways as a sum of consecutive naturals, for example, 41945046 + ... + 41945922.

It is an arithmetic number, because the mean of its divisors is an integer number (539127120).

Almost surely, 2^36786189468 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 36786189468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51756203520).

36786189468 is an abundant number, since it is smaller than the sum of its proper divisors (66726217572).

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

36786189468 is a wasteful number, since it uses less digits than its factorization.

36786189468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1242 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The spelling of 36786189468 in words is "thirty-six billion, seven hundred eighty-six million, one hundred eighty-nine thousand, four hundred sixty-eight".