36200214240 has 192 divisors, whose sum is σ = 115773235200. Its totient is φ = 9506525184.

The previous prime is 36200214223. The next prime is 36200214247. The reversal of 36200214240 is 4241200263.

It is a super-2 number, since 2×36200214240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36200214240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36200214247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18162684 + ... + 18164676.

It is an arithmetic number, because the mean of its divisors is an integer number (602985600).

Almost surely, 2^36200214240 is an apocalyptic number.

36200214240 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 36200214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886617600).

36200214240 is an abundant number, since it is smaller than the sum of its proper divisors (79573020960).

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

36200214240 is a wasteful number, since it uses less digits than its factorization.

36200214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 36200214240 in words is "thirty-six billion, two hundred million, two hundred fourteen thousand, two hundred forty".