67685803920 has 720 divisors, whose sum is σ = 277272253440. Its totient is φ = 14488860672.

The previous prime is 67685803903. The next prime is 67685804057. The reversal of 67685803920 is 2930858676.

It is a happy number.

67685803920 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 580 + 39 + 20 = 666.

67685803920 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 (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141306241 + ... + 141306719.

It is an arithmetic number, because the mean of its divisors is an integer number (385100352).

Almost surely, 2^67685803920 is an apocalyptic number.

67685803920 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 67685803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138636126720).

67685803920 is an abundant number, since it is smaller than the sum of its proper divisors (209586449520).

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

67685803920 is a wasteful number, since it uses less digits than its factorization.

67685803920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 67685803920 in words is "sixty-seven billion, six hundred eighty-five million, eight hundred three thousand, nine hundred twenty".