36689055943680 has 1408 divisors, whose sum is σ = 153240686438400. Its totient is φ = 8151115235328.

The previous prime is 36689055943669. The next prime is 36689055943711. The reversal of 36689055943680 is 8634955098663.

36689055943680 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 9 + 0 + 559 + 4 + 3 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36689055943599 and 36689055943608.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5590284079 + ... + 5590290641.

It is an arithmetic number, because the mean of its divisors is an integer number (108835714800).

Almost surely, 2^{36689055943680} is an apocalyptic number.

36689055943680 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 36689055943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76620343219200).

36689055943680 is an abundant number, since it is smaller than the sum of its proper divisors (116551630494720).

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

36689055943680 is a wasteful number, since it uses less digits than its factorization.

36689055943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 36689055943680 in words is "thirty-six trillion, six hundred eighty-nine billion, fifty-five million, nine hundred forty-three thousand, six hundred eighty".