36049837824 has 1296 divisors, whose sum is σ = 148431192000. Its totient is φ = 8345272320.

The previous prime is 36049837801. The next prime is 36049837829. The reversal of 36049837824 is 42873894063.

36049837824 is a `hidden beast` number, since 3 + 60 + 498 + 3 + 78 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36049837829) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1243097842 + ... + 1243097870.

Almost surely, 2^36049837824 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 36049837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74215596000).

36049837824 is an abundant number, since it is smaller than the sum of its proper divisors (112381354176).

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

36049837824 is a wasteful number, since it uses less digits than its factorization.

36049837824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 36049837824 in words is "thirty-six billion, forty-nine million, eight hundred thirty-seven thousand, eight hundred twenty-four".