67365804960 has 144 divisors (see below), whose sum is σ = 230127337440. Its totient is φ = 17945341440.

The previous prime is 67365804959. The next prime is 67365804983. The reversal of 67365804960 is 6940856376.

67365804960 is a `hidden beast` number, since 6 + 73 + 6 + 5 + 80 + 496 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 67365804897 and 67365804906.

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, 1374151 + ... + 1422329.

It is an arithmetic number, because the mean of its divisors is an integer number (1598106510).

Almost surely, 2^67365804960 is an apocalyptic number.

67365804960 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 67365804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115063668720).

67365804960 is an abundant number, since it is smaller than the sum of its proper divisors (162761532480).

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

67365804960 is a wasteful number, since it uses less digits than its factorization.

67365804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49171 (or 49160 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 67365804960 in words is "sixty-seven billion, three hundred sixty-five million, eight hundred four thousand, nine hundred sixty".