26968322964800 has 672 divisors, whose sum is σ = 83215959552000. Its totient is φ = 8392766054400.

The previous prime is 26968322964773. The next prime is 26968322964859. The reversal of 26968322964800 is 846922386962.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808410521 + ... + 808443879.

Almost surely, 2^{26968322964800} is an apocalyptic number.

26968322964800 is a gapful number since it is divisible by the number (20) 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 26968322964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41607979776000).

26968322964800 is an abundant number, since it is smaller than the sum of its proper divisors (56247636587200).

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

26968322964800 is a wasteful number, since it uses less digits than its factorization.

26968322964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33567 (or 33552 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 65.

The spelling of 26968322964800 in words is "twenty-six trillion, nine hundred sixty-eight billion, three hundred twenty-two million, nine hundred sixty-four thousand, eight hundred".