67768381440 has 312 divisors, whose sum is σ = 235814696208. Its totient is φ = 18001428480.

The previous prime is 67768381403. The next prime is 67768381463. The reversal of 67768381440 is 4418386776.

67768381440 is a `hidden beast` number, since 67 + 7 + 68 + 3 + 81 + 440 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 62115295 + ... + 62116385.

It is an arithmetic number, because the mean of its divisors is an integer number (755816334).

Almost surely, 2^67768381440 is an apocalyptic number.

67768381440 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 67768381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117907348104).

67768381440 is an abundant number, since it is smaller than the sum of its proper divisors (168046314768).

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

67768381440 is a wasteful number, since it uses less digits than its factorization.

67768381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 67768381440 in words is "sixty-seven billion, seven hundred sixty-eight million, three hundred eighty-one thousand, four hundred forty".