36789380992 has 256 divisors, whose sum is σ = 95939665920. Its totient is φ = 13653319680.

The previous prime is 36789380981. The next prime is 36789381001. The reversal of 36789380992 is 29908398763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14197617 + ... + 14200207.

It is an arithmetic number, because the mean of its divisors is an integer number (374764320).

Almost surely, 2^36789380992 is an apocalyptic number.

36789380992 is a gapful number since it is divisible by the number (32) 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 36789380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47969832960).

36789380992 is an abundant number, since it is smaller than the sum of its proper divisors (59150284928).

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

36789380992 is a wasteful number, since it uses less digits than its factorization.

36789380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 36789380992 in words is "thirty-six billion, seven hundred eighty-nine million, three hundred eighty thousand, nine hundred ninety-two".