36364189680 has 1440 divisors, whose sum is σ = 167630342400. Its totient is φ = 7200700416.

The previous prime is 36364189679. The next prime is 36364189727. The reversal of 36364189680 is 8698146363.

36364189680 is a `hidden beast` number, since 3 + 63 + 6 + 418 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 339852187 + ... + 339852293.

It is an arithmetic number, because the mean of its divisors is an integer number (116409960).

Almost surely, 2^36364189680 is an apocalyptic number.

36364189680 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 36364189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83815171200).

36364189680 is an abundant number, since it is smaller than the sum of its proper divisors (131266152720).

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

36364189680 is a wasteful number, since it uses less digits than its factorization.

36364189680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 36364189680 in words is "thirty-six billion, three hundred sixty-four million, one hundred eighty-nine thousand, six hundred eighty".