36566449920 has 1728 divisors, whose sum is σ = 178508897280. Its totient is φ = 6967296000.

The previous prime is 36566449889. The next prime is 36566449949. The reversal of 36566449920 is 2994466563.

36566449920 is a `hidden beast` number, since 36 + 566 + 4 + 49 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161845 + ... + 242161995.

It is an arithmetic number, because the mean of its divisors is an integer number (103303760).

Almost surely, 2^36566449920 is an apocalyptic number.

36566449920 is a gapful number since it is divisible by the number (30) 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 36566449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89254448640).

36566449920 is an abundant number, since it is smaller than the sum of its proper divisors (141942447360).

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

36566449920 is a wasteful number, since it uses less digits than its factorization.

36566449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 36566449920 in words is "thirty-six billion, five hundred sixty-six million, four hundred forty-nine thousand, nine hundred twenty".