36643537728 has 224 divisors, whose sum is σ = 125979448320. Its totient is φ = 10225958400.

The previous prime is 36643537703. The next prime is 36643537729. The reversal of 36643537728 is 82773534663.

36643537728 is a `hidden beast` number, since 3 + 66 + 43 + 537 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36643537729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484903 + ... + 555353.

Almost surely, 2^36643537728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36643537728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62989724160).

36643537728 is an abundant number, since it is smaller than the sum of its proper divisors (89335910592).

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

36643537728 is a wasteful number, since it uses less digits than its factorization.

36643537728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70522 (or 70506 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 36643537728 in words is "thirty-six billion, six hundred forty-three million, five hundred thirty-seven thousand, seven hundred twenty-eight".