36221709600 has 720 divisors, whose sum is σ = 141492881376. Its totient is φ = 8985600000.

The previous prime is 36221709581. The next prime is 36221709647. The reversal of 36221709600 is 690712263.

36221709600 is a `hidden beast` number, since 36 + 2 + 2 + 17 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144309475 + ... + 144309725.

Almost surely, 2^36221709600 is an apocalyptic number.

36221709600 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 36221709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70746440688).

36221709600 is an abundant number, since it is smaller than the sum of its proper divisors (105271171776).

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

36221709600 is a wasteful number, since it uses less digits than its factorization.

36221709600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 36221709600 in words is "thirty-six billion, two hundred twenty-one million, seven hundred nine thousand, six hundred".