19836067680 has 288 divisors, whose sum is σ = 79525424160. Its totient is φ = 4438794240.

The previous prime is 19836067663. The next prime is 19836067747. The reversal of 19836067680 is 8676063891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 157756 + ... + 254084.

It is an arithmetic number, because the mean of its divisors is an integer number (276129945).

Almost surely, 2^19836067680 is an apocalyptic number.

19836067680 is a gapful number since it is divisible by the number (10) 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 19836067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39762712080).

19836067680 is an abundant number, since it is smaller than the sum of its proper divisors (59689356480).

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

19836067680 is a wasteful number, since it uses less digits than its factorization.

19836067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96374 (or 96363 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 19836067680 in words is "nineteen billion, eight hundred thirty-six million, sixty-seven thousand, six hundred eighty".