67405908096 has 96 divisors (see below), whose sum is σ = 194689485900. Its totient is φ = 22385006592.

The previous prime is 67405908047. The next prime is 67405908113. The reversal of 67405908096 is 69080950476.

67405908096 is a `hidden beast` number, since 6 + 7 + 40 + 590 + 8 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66873960000 + 531948096 = 258600^2 + 23064^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201130 + ... + 418646.

Almost surely, 2^67405908096 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 67405908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97344742950).

67405908096 is an abundant number, since it is smaller than the sum of its proper divisors (127283577804).

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

67405908096 is a wasteful number, since it uses less digits than its factorization.

67405908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217806 (or 217791 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 67405908096 in words is "sixty-seven billion, four hundred five million, nine hundred eight thousand, ninety-six".