67795374816 has 432 divisors, whose sum is σ = 226009719936. Its totient is φ = 19944258048.

The previous prime is 67795374749. The next prime is 67795374817. The reversal of 67795374816 is 61847359776.

67795374816 is a `hidden beast` number, since 67 + 7 + 95 + 3 + 7 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67795374817) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 30224191 + ... + 30226433.

It is an arithmetic number, because the mean of its divisors is an integer number (523170648).

Almost surely, 2^67795374816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67795374816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113004859968).

67795374816 is an abundant number, since it is smaller than the sum of its proper divisors (158214345120).

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

67795374816 is a wasteful number, since it uses less digits than its factorization.

67795374816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2284 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 67795374816 in words is "sixty-seven billion, seven hundred ninety-five million, three hundred seventy-four thousand, eight hundred sixteen".