4067680808928 has 288 divisors, whose sum is σ = 11905333655040. Its totient is φ = 1214996428800.

The previous prime is 4067680808921. The next prime is 4067680808959. The reversal of 4067680808928 is 8298080867604.

It is a happy number.

It is a super-2 number, since 2×4067680808928² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067680808921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342189801 + ... + 342201687.

It is an arithmetic number, because the mean of its divisors is an integer number (41337964080).

Almost surely, 2^{4067680808928} is an apocalyptic number.

4067680808928 is a gapful number since it is divisible by the number (48) 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 4067680808928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952666827520).

4067680808928 is an abundant number, since it is smaller than the sum of its proper divisors (7837652846112).

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

4067680808928 is a wasteful number, since it uses less digits than its factorization.

4067680808928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 4067680808928 in words is "four trillion, sixty-seven billion, six hundred eighty million, eight hundred eight thousand, nine hundred twenty-eight".