4067596666770 has 768 divisors, whose sum is σ = 12921691815936. Its totient is φ = 800616960000.

The previous prime is 4067596666769. The next prime is 4067596666787. The reversal of 4067596666770 is 776666957604.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 4067596666695 and 4067596666704.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 7518662700 + ... + 7518663240.

It is an arithmetic number, because the mean of its divisors is an integer number (16825119552).

Almost surely, 2^{4067596666770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4067596666770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460845907968).

4067596666770 is an abundant number, since it is smaller than the sum of its proper divisors (8854095149166).

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

4067596666770 is a wasteful number, since it uses less digits than its factorization.

4067596666770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 69.

The spelling of 4067596666770 in words is "four trillion, sixty-seven billion, five hundred ninety-six million, six hundred sixty-six thousand, seven hundred seventy".