67940728416 has 144 divisors (see below), whose sum is σ = 211105793808. Its totient is φ = 20555366400.

The previous prime is 67940728393. The next prime is 67940728421. The reversal of 67940728416 is 61482704976.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013960 + ... + 2047416.

It is an arithmetic number, because the mean of its divisors is an integer number (1466012457).

Almost surely, 2^67940728416 is an apocalyptic number.

67940728416 is a gapful number since it is divisible by the number (66) 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 67940728416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105552896904).

67940728416 is an abundant number, since it is smaller than the sum of its proper divisors (143165065392).

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

67940728416 is a wasteful number, since it uses less digits than its factorization.

67940728416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34125 (or 34114 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 67940728416 in words is "sixty-seven billion, nine hundred forty million, seven hundred twenty-eight thousand, four hundred sixteen".