36012787200 has 720 divisors, whose sum is σ = 140600219760. Its totient is φ = 8750039040.

The previous prime is 36012787171. The next prime is 36012787247. The reversal of 36012787200 is 278721063.

36012787200 is a `hidden beast` number, since 3 + 601 + 27 + 8 + 7 + 20 + 0 = 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208166314 + ... + 208166486.

It is an arithmetic number, because the mean of its divisors is an integer number (195278083).

Almost surely, 2^36012787200 is an apocalyptic number.

36012787200 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 36012787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70300109880).

36012787200 is an abundant number, since it is smaller than the sum of its proper divisors (104587432560).

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

36012787200 is a wasteful number, since it uses less digits than its factorization.

36012787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 36012787200 in words is "thirty-six billion, twelve million, seven hundred eighty-seven thousand, two hundred".