67655345642568 has 192 divisors, whose sum is σ = 193057328318400. Its totient is φ = 21374768862720.

The previous prime is 67655345642567. The next prime is 67655345642611. The reversal of 67655345642568 is 86524654355676.

67655345642568 is a `hidden beast` number, since 6 + 7 + 6 + 5 + 5 + 3 + 4 + 56 + 4 + 2 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 67655345642496 and 67655345642505.

It is not an unprimeable number, because it can be changed into a prime (67655345642567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25965463 + ... + 28451993.

It is an arithmetic number, because the mean of its divisors is an integer number (1005506918325).

Almost surely, 2^{67655345642568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67655345642568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96528664159200).

67655345642568 is an abundant number, since it is smaller than the sum of its proper divisors (125401982675832).

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

67655345642568 is a wasteful number, since it uses less digits than its factorization.

67655345642568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486812 (or 2486805 counting only the distinct ones).

The product of its digits is 4354560000, while the sum is 72.

The spelling of 67655345642568 in words is "sixty-seven trillion, six hundred fifty-five billion, three hundred forty-five million, six hundred forty-two thousand, five hundred sixty-eight".