27648679240320 has 256 divisors, whose sum is σ = 91034299284480. Its totient is φ = 7130341048320.

The previous prime is 27648679240319. The next prime is 27648679240321. The reversal of 27648679240320 is 2304297684672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27648679240319) and next prime (27648679240321).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (27648679240321) 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 31 ways as a sum of consecutive naturals, for example, 88707792 + ... + 89018928.

It is an arithmetic number, because the mean of its divisors is an integer number (355602731580).

Almost surely, 2^{27648679240320} is an apocalyptic number.

27648679240320 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 27648679240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45517149642240).

27648679240320 is an abundant number, since it is smaller than the sum of its proper divisors (63385620044160).

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

27648679240320 is a wasteful number, since it uses less digits than its factorization.

27648679240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312683 (or 312671 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 27648679240320 in words is "twenty-seven trillion, six hundred forty-eight billion, six hundred seventy-nine million, two hundred forty thousand, three hundred twenty".