36729819776 has 192 divisors, whose sum is σ = 82584552960. Its totient is φ = 16173250560.

The previous prime is 36729819743. The next prime is 36729819779. The reversal of 36729819776 is 67791892763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36729819779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164707601 + ... + 164707823.

It is an arithmetic number, because the mean of its divisors is an integer number (430127880).

Almost surely, 2^36729819776 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 36729819776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292276480).

36729819776 is an abundant number, since it is smaller than the sum of its proper divisors (45854733184).

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

36729819776 is a wasteful number, since it uses less digits than its factorization.

36729819776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 372 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 65.

The spelling of 36729819776 in words is "thirty-six billion, seven hundred twenty-nine million, eight hundred nineteen thousand, seven hundred seventy-six".