36266664096 has 144 divisors (see below), whose sum is σ = 114896887560. Its totient is φ = 10774149120.

The previous prime is 36266664089. The next prime is 36266664139. The reversal of 36266664096 is 69046666263.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22309604496 + 13957059600 = 149364^2 + 118140^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 58435 + ... + 275586.

Almost surely, 2^36266664096 is an apocalyptic number.

36266664096 is a gapful number since it is divisible by the number (36) 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 36266664096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57448443780).

36266664096 is an abundant number, since it is smaller than the sum of its proper divisors (78630223464).

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

36266664096 is a wasteful number, since it uses less digits than its factorization.

36266664096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334079 (or 334068 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 36266664096 in words is "thirty-six billion, two hundred sixty-six million, six hundred sixty-four thousand, ninety-six".