67792992768 has 200 divisors, whose sum is σ = 214249062852. Its totient is φ = 21268168704.

The previous prime is 67792992733. The next prime is 67792992779. The reversal of 67792992768 is 86729929776.

67792992768 is a `hidden beast` number, since 67 + 7 + 9 + 299 + 276 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54621298944 + 13171693824 = 233712^2 + 114768^2 .

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 = 67792992696 and 67792992705.

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 19 ways as a sum of consecutive naturals, for example, 656946 + ... + 753102.

Almost surely, 2^67792992768 is an apocalyptic number.

67792992768 is a gapful number since it is divisible by the number (68) 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 67792992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107124531426).

67792992768 is an abundant number, since it is smaller than the sum of its proper divisors (146456070084).

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

67792992768 is an equidigital number, since it uses as much as digits as its factorization.

67792992768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96204 (or 96179 counting only the distinct ones).

The product of its digits is 288054144, while the sum is 72.

The spelling of 67792992768 in words is "sixty-seven billion, seven hundred ninety-two million, nine hundred ninety-two thousand, seven hundred sixty-eight".