36783854016 has 448 divisors, whose sum is σ = 124949078016. Its totient is φ = 9289728000.

The previous prime is 36783853991. The next prime is 36783854083. The reversal of 36783854016 is 61045838763.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 36783854016.

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 63 ways as a sum of consecutive naturals, for example, 61204116 + ... + 61204716.

It is an arithmetic number, because the mean of its divisors is an integer number (278904192).

Almost surely, 2^36783854016 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 36783854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62474539008).

36783854016 is an abundant number, since it is smaller than the sum of its proper divisors (88165224000).

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

36783854016 is a wasteful number, since it uses less digits than its factorization.

36783854016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 36783854016 in words is "thirty-six billion, seven hundred eighty-three million, eight hundred fifty-four thousand, sixteen".