67686727680 has 1024 divisors, whose sum is σ = 285376089600. Its totient is φ = 15005122560.

The previous prime is 67686727673. The next prime is 67686727729. The reversal of 67686727680 is 8672768676.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

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, 632586187 + ... + 632586293.

Almost surely, 2^67686727680 is an apocalyptic number.

67686727680 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 67686727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142688044800).

67686727680 is an abundant number, since it is smaller than the sum of its proper divisors (217689361920).

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

67686727680 is a wasteful number, since it uses less digits than its factorization.

67686727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 67686727680 in words is "sixty-seven billion, six hundred eighty-six million, seven hundred twenty-seven thousand, six hundred eighty".