67798093824 has 260 divisors, whose sum is σ = 203831888260. Its totient is φ = 22454599680.

The previous prime is 67798093817. The next prime is 67798093829. The reversal of 67798093824 is 42839089776.

It can be written as a sum of positive squares in 2 ways, for example, as 2687385600 + 65110708224 = 51840^2 + 255168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67798093829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60050892 + ... + 60052020.

It is an arithmetic number, because the mean of its divisors is an integer number (783968801).

Almost surely, 2^67798093824 is an apocalyptic number.

67798093824 is a gapful number since it is divisible by the number (64) 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 67798093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101915944130).

67798093824 is an abundant number, since it is smaller than the sum of its proper divisors (136033794436).

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

67798093824 is a wasteful number, since it uses less digits than its factorization.

67798093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 67798093824 in words is "sixty-seven billion, seven hundred ninety-eight million, ninety-three thousand, eight hundred twenty-four".