83327789983680 has 1344 divisors, whose sum is σ = 332719962854400. Its totient is φ = 19469096755200.

The previous prime is 83327789983637. The next prime is 83327789983717. The reversal of 83327789983680 is 8638998772338.

83327789983680 is a `hidden beast` number, since 8 + 3 + 327 + 78 + 99 + 83 + 68 + 0 = 666.

83327789983680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×83327789983680³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83327789983680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24020692986 + ... + 24020696454.

Almost surely, 2^{83327789983680} is an apocalyptic number.

83327789983680 is a gapful number since it is divisible by the number (80) 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 83327789983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166359981427200).

83327789983680 is an abundant number, since it is smaller than the sum of its proper divisors (249392172870720).

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

83327789983680 is a wasteful number, since it uses less digits than its factorization.

83327789983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 83327789983680 in words is "eighty-three trillion, three hundred twenty-seven billion, seven hundred eighty-nine million, nine hundred eighty-three thousand, six hundred eighty".