36408169728 has 648 divisors, whose sum is σ = 128535353856. Its totient is φ = 9870336000.

The previous prime is 36408169717. The next prime is 36408169807. The reversal of 36408169728 is 82796180463.

36408169728 is a `hidden beast` number, since 3 + 6 + 408 + 169 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353477325 + ... + 353477427.

Almost surely, 2^36408169728 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 36408169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64267676928).

36408169728 is an abundant number, since it is smaller than the sum of its proper divisors (92127184128).

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

36408169728 is a wasteful number, since it uses less digits than its factorization.

36408169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 36408169728 in words is "thirty-six billion, four hundred eight million, one hundred sixty-nine thousand, seven hundred twenty-eight".