36728311680 has 512 divisors, whose sum is σ = 136210636800. Its totient is φ = 9343549440.

The previous prime is 36728311673. The next prime is 36728311681. The reversal of 36728311680 is 8611382763.

36728311680 is a `hidden beast` number, since 367 + 283 + 1 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36728311681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33298009 + ... + 33299111.

It is an arithmetic number, because the mean of its divisors is an integer number (266036400).

Almost surely, 2^36728311680 is an apocalyptic number.

36728311680 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 36728311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68105318400).

36728311680 is an abundant number, since it is smaller than the sum of its proper divisors (99482325120).

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

36728311680 is a wasteful number, since it uses less digits than its factorization.

36728311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 36728311680 in words is "thirty-six billion, seven hundred twenty-eight million, three hundred eleven thousand, six hundred eighty".