36553660416 has 1152 divisors, whose sum is σ = 145003622400. Its totient is φ = 8599633920.

The previous prime is 36553660399. The next prime is 36553660417. The reversal of 36553660416 is 61406635563.

36553660416 is a `hidden beast` number, since 3 + 6 + 5 + 5 + 36 + 604 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36553660417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 987936750 + ... + 987936786.

It is an arithmetic number, because the mean of its divisors is an integer number (125871200).

Almost surely, 2^36553660416 is an apocalyptic number.

36553660416 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 36553660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72501811200).

36553660416 is an abundant number, since it is smaller than the sum of its proper divisors (108449961984).

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

36553660416 is a wasteful number, since it uses less digits than its factorization.

36553660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 36553660416 in words is "thirty-six billion, five hundred fifty-three million, six hundred sixty thousand, four hundred sixteen".