67568014080 has 576 divisors, whose sum is σ = 283504435200. Its totient is φ = 14910013440.

The previous prime is 67568014061. The next prime is 67568014121. The reversal of 67568014080 is 8041086576.

It is a happy number.

67568014080 is a `hidden beast` number, since 6 + 7 + 568 + 0 + 1 + 4 + 0 + 80 = 666.

67568014080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7010865 + ... + 7020495.

It is an arithmetic number, because the mean of its divisors is an integer number (492195200).

Almost surely, 2^67568014080 is an apocalyptic number.

67568014080 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 67568014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141752217600).

67568014080 is an abundant number, since it is smaller than the sum of its proper divisors (215936421120).

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

67568014080 is a wasteful number, since it uses less digits than its factorization.

67568014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 67568014080 in words is "sixty-seven billion, five hundred sixty-eight million, fourteen thousand, eighty".