36799868160 has 720 divisors, whose sum is σ = 147337831872. Its totient is φ = 8692531200.

The previous prime is 36799868143. The next prime is 36799868179. The reversal of 36799868160 is 6186899763.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 46759287 + ... + 46760073.

Almost surely, 2^36799868160 is an apocalyptic number.

36799868160 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 36799868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73668915936).

36799868160 is an abundant number, since it is smaller than the sum of its proper divisors (110537963712).

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

36799868160 is a wasteful number, since it uses less digits than its factorization.

36799868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 36799868160 in words is "thirty-six billion, seven hundred ninety-nine million, eight hundred sixty-eight thousand, one hundred sixty".