27344497069440 has 512 divisors, whose sum is σ = 98207970480000. Its totient is φ = 7189966356480.

The previous prime is 27344497069429. The next prime is 27344497069471. The reversal of 27344497069440 is 4496079444372.

27344497069440 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 44 + 97 + 0 + 69 + 440 = 666.

It is a super-2 number, since 2×27344497069440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352697880 + ... + 352775400.

Almost surely, 2^{27344497069440} is an apocalyptic number.

27344497069440 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 27344497069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49103985240000).

27344497069440 is an abundant number, since it is smaller than the sum of its proper divisors (70863473410560).

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

27344497069440 is a wasteful number, since it uses less digits than its factorization.

27344497069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77835 (or 77817 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 27344497069440 in words is "twenty-seven trillion, three hundred forty-four billion, four hundred ninety-seven million, sixty-nine thousand, four hundred forty".