27824118666240 has 1408 divisors, whose sum is σ = 107321963212800. Its totient is φ = 6085096243200.

The previous prime is 27824118666151. The next prime is 27824118666247. The reversal of 27824118666240 is 4266681142872.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27824118666247) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4314482536 + ... + 4314488984.

Almost surely, 2^{27824118666240} is an apocalyptic number.

27824118666240 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 27824118666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660981606400).

27824118666240 is an abundant number, since it is smaller than the sum of its proper divisors (79497844546560).

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

27824118666240 is a wasteful number, since it uses less digits than its factorization.

27824118666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6561 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 27824118666240 in words is "twenty-seven trillion, eight hundred twenty-four billion, one hundred eighteen million, six hundred sixty-six thousand, two hundred forty".