67685406048 has 288 divisors, whose sum is σ = 221908377600. Its totient is φ = 19394546688.

The previous prime is 67685405971. The next prime is 67685406071. The reversal of 67685406048 is 84060458676.

67685406048 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 (288).

It is a super-3 number, since 3×67685406048³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67685405985 and 67685406003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4188961 + ... + 4205087.

It is an arithmetic number, because the mean of its divisors is an integer number (770515200).

Almost surely, 2^67685406048 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 67685406048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110954188800).

67685406048 is an abundant number, since it is smaller than the sum of its proper divisors (154222971552).

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

67685406048 is a wasteful number, since it uses less digits than its factorization.

67685406048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16234 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 67685406048 in words is "sixty-seven billion, six hundred eighty-five million, four hundred six thousand, forty-eight".