67668046560 has 288 divisors, whose sum is σ = 237227320512. Its totient is φ = 17554268160.

The previous prime is 67668046549. The next prime is 67668046573. The reversal of 67668046560 is 6564086676.

67668046560 is a `hidden beast` number, since 6 + 76 + 6 + 8 + 0 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 67668046497 and 67668046506.

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 47 ways as a sum of consecutive naturals, for example, 23437437 + ... + 23440323.

It is an arithmetic number, because the mean of its divisors is an integer number (823705974).

Almost surely, 2^67668046560 is an apocalyptic number.

67668046560 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 67668046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118613660256).

67668046560 is an abundant number, since it is smaller than the sum of its proper divisors (169559273952).

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

67668046560 is a wasteful number, since it uses less digits than its factorization.

67668046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 67668046560 in words is "sixty-seven billion, six hundred sixty-eight million, forty-six thousand, five hundred sixty".