27068272440 has 256 divisors, whose sum is σ = 94991616000. Its totient is φ = 6097428480.

The previous prime is 27068272409. The next prime is 27068272471. The reversal of 27068272440 is 4427286072.

It is an interprime number because it is at equal distance from previous prime (27068272409) and next prime (27068272471).

It is a junction number, because it is equal to n+sod(n) for n = 27068272392 and 27068272401.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1765126 + ... + 1780394.

It is an arithmetic number, because the mean of its divisors is an integer number (371061000).

Almost surely, 2^27068272440 is an apocalyptic number.

27068272440 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 27068272440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47495808000).

27068272440 is an abundant number, since it is smaller than the sum of its proper divisors (67923343560).

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

27068272440 is a wasteful number, since it uses less digits than its factorization.

27068272440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15390 (or 15386 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 27068272440 in words is "twenty-seven billion, sixty-eight million, two hundred seventy-two thousand, four hundred forty".