36765649152 has 216 divisors, whose sum is σ = 107329622400. Its totient is φ = 12103225344.

The previous prime is 36765649139. The next prime is 36765649159. The reversal of 36765649152 is 25194656763.

36765649152 is a `hidden beast` number, since 3 + 6 + 76 + 564 + 9 + 1 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (36765649159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98567238 + ... + 98567610.

It is an arithmetic number, because the mean of its divisors is an integer number (496896400).

Almost surely, 2^36765649152 is an apocalyptic number.

36765649152 is a gapful number since it is divisible by the number (32) 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 36765649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53664811200).

36765649152 is an abundant number, since it is smaller than the sum of its proper divisors (70563973248).

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

36765649152 is a wasteful number, since it uses less digits than its factorization.

36765649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 796 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 36765649152 in words is "thirty-six billion, seven hundred sixty-five million, six hundred forty-nine thousand, one hundred fifty-two".