36442464912 has 240 divisors, whose sum is σ = 119540348928. Its totient is φ = 10146850560.

The previous prime is 36442464901. The next prime is 36442464913. The reversal of 36442464912 is 21946424463.

36442464912 is a `hidden beast` number, since 3 + 64 + 42 + 464 + 91 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36442464913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29603337 + ... + 29604567.

Almost surely, 2^36442464912 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 36442464912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59770174464).

36442464912 is an abundant number, since it is smaller than the sum of its proper divisors (83097884016).

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

36442464912 is a wasteful number, since it uses less digits than its factorization.

36442464912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1969 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 36442464912 in words is "thirty-six billion, four hundred forty-two million, four hundred sixty-four thousand, nine hundred twelve".