36765408808320 has 256 divisors, whose sum is σ = 117729901586880. Its totient is φ = 9758956584960.

The previous prime is 36765408808309. The next prime is 36765408808321. The reversal of 36765408808320 is 2380880456763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36765408808321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079508732 + ... + 1079542788.

Almost surely, 2^{36765408808320} is an apocalyptic number.

36765408808320 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 36765408808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58864950793440).

36765408808320 is an abundant number, since it is smaller than the sum of its proper divisors (80964492778560).

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

36765408808320 is a wasteful number, since it uses less digits than its factorization.

36765408808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36653 (or 36641 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 36765408808320 in words is "thirty-six trillion, seven hundred sixty-five billion, four hundred eight million, eight hundred eight thousand, three hundred twenty".