36809809920 has 336 divisors, whose sum is σ = 137432792952. Its totient is φ = 9059696640.

The previous prime is 36809809903. The next prime is 36809809943. The reversal of 36809809920 is 2990890863.

It can be written as a sum of positive squares in 4 ways, for example, as 26571608064 + 10238201856 = 163008^2 + 101184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4788480 + ... + 4796160.

Almost surely, 2^36809809920 is an apocalyptic number.

36809809920 is a gapful number since it is divisible by the number (30) 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 36809809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68716396476).

36809809920 is an abundant number, since it is smaller than the sum of its proper divisors (100622983032).

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

36809809920 is a wasteful number, since it uses less digits than its factorization.

36809809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 36809809920 in words is "thirty-six billion, eight hundred nine million, eight hundred nine thousand, nine hundred twenty".