27440330274168 has 384 divisors, whose sum is σ = 82912481280000. Its totient is φ = 7409854667520.

The previous prime is 27440330274151. The next prime is 27440330274179. The reversal of 27440330274168 is 86147203304472.

It is a self number, because there is not a number n which added to its sum of digits gives 27440330274168.

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, 3786436321 + ... + 3786443567.

It is an arithmetic number, because the mean of its divisors is an integer number (215917920000).

Almost surely, 2^{27440330274168} is an apocalyptic number.

27440330274168 is a gapful number since it is divisible by the number (28) 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 27440330274168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456240640000).

27440330274168 is an abundant number, since it is smaller than the sum of its proper divisors (55472151005832).

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

27440330274168 is a wasteful number, since it uses less digits than its factorization.

27440330274168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 27440330274168 in words is "twenty-seven trillion, four hundred forty billion, three hundred thirty million, two hundred seventy-four thousand, one hundred sixty-eight".