67938386953920 has 896 divisors, whose sum is σ = 259831409541120. Its totient is φ = 14704577986560.

The previous prime is 67938386953901. The next prime is 67938386953939. The reversal of 67938386953920 is 2935968383976.

67938386953920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67938386953901) and next prime (67938386953939).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6390587005 + ... + 6390597635.

Almost surely, 2^{67938386953920} is an apocalyptic number.

67938386953920 is a gapful number since it is divisible by the number (60) 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 67938386953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129915704770560).

67938386953920 is an abundant number, since it is smaller than the sum of its proper divisors (191893022587200).

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

67938386953920 is a wasteful number, since it uses less digits than its factorization.

67938386953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 78.

The spelling of 67938386953920 in words is "sixty-seven trillion, nine hundred thirty-eight billion, three hundred eighty-six million, nine hundred fifty-three thousand, nine hundred twenty".