67948083456 has 288 divisors, whose sum is σ = 203902048896. Its totient is φ = 19906560000.

The previous prime is 67948083451. The next prime is 67948083481. The reversal of 67948083456 is 65438084976.

It is a self number, because there is not a number n which added to its sum of digits gives 67948083456.

It is not an unprimeable number, because it can be changed into a prime (67948083451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56575656 + ... + 56576856.

Almost surely, 2^67948083456 is an apocalyptic number.

67948083456 is a gapful number since it is divisible by the number (66) 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 67948083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101951024448).

67948083456 is an abundant number, since it is smaller than the sum of its proper divisors (135953965440).

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

67948083456 is a wasteful number, since it uses less digits than its factorization.

67948083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 67948083456 in words is "sixty-seven billion, nine hundred forty-eight million, eighty-three thousand, four hundred fifty-six".