36810650880 has 504 divisors, whose sum is σ = 133831047168. Its totient is φ = 9695490048.

The previous prime is 36810650879. The next prime is 36810650887. The reversal of 36810650880 is 8805601863.

36810650880 is a `hidden beast` number, since 3 + 68 + 1 + 0 + 6 + 508 + 80 = 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 (36810650887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 96111169 + ... + 96111551.

It is an arithmetic number, because the mean of its divisors is an integer number (265537792).

Almost surely, 2^36810650880 is an apocalyptic number.

36810650880 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 36810650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66915523584).

36810650880 is an abundant number, since it is smaller than the sum of its proper divisors (97020396288).

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

36810650880 is an equidigital number, since it uses as much as digits as its factorization.

36810650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 36810650880 in words is "thirty-six billion, eight hundred ten million, six hundred fifty thousand, eight hundred eighty".