26968322304 has 288 divisors, whose sum is σ = 99430625280. Its totient is φ = 7004620800.

The previous prime is 26968322299. The next prime is 26968322323. The reversal of 26968322304 is 40322386962.

It is a happy number.

26968322304 is a `hidden beast` number, since 269 + 6 + 83 + 2 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 26968322304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506889 + ... + 557559.

Almost surely, 2^26968322304 is an apocalyptic number.

26968322304 is a gapful number since it is divisible by the number (24) 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 26968322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49715312640).

26968322304 is an abundant number, since it is smaller than the sum of its proper divisors (72462302976).

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

26968322304 is a wasteful number, since it uses less digits than its factorization.

26968322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50714 (or 50694 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26968322304 in words is "twenty-six billion, nine hundred sixty-eight million, three hundred twenty-two thousand, three hundred four".