36853726464 has 144 divisors (see below), whose sum is σ = 110477382400. Its totient is φ = 12116127744.

The previous prime is 36853726453. The next prime is 36853726477. The reversal of 36853726464 is 46462735863.

36853726464 is a `hidden beast` number, since 3 + 68 + 53 + 72 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36853726464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468057 + ... + 541095.

Almost surely, 2^36853726464 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 36853726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55238691200).

36853726464 is an abundant number, since it is smaller than the sum of its proper divisors (73623655936).

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

36853726464 is an equidigital number, since it uses as much as digits as its factorization.

36853726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73137 (or 73117 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 36853726464 in words is "thirty-six billion, eight hundred fifty-three million, seven hundred twenty-six thousand, four hundred sixty-four".