27246984560640 has 2016 divisors, whose sum is σ = 109171872454176. Its totient is φ = 6482212945920.

The previous prime is 27246984560603. The next prime is 27246984560669. The reversal of 27246984560640 is 4606548964272.

It is a happy number.

27246984560640 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 6 + 9 + 8 + 4 + 560 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 254644715467 + ... + 254644715573.

It is an arithmetic number, because the mean of its divisors is an integer number (54152714511).

Almost surely, 2^{27246984560640} is an apocalyptic number.

27246984560640 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 27246984560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585936227088).

27246984560640 is an abundant number, since it is smaller than the sum of its proper divisors (81924887893536).

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

27246984560640 is an frugal number, since it uses more digits than its factorization.

27246984560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 27246984560640 in words is "twenty-seven trillion, two hundred forty-six billion, nine hundred eighty-four million, five hundred sixty thousand, six hundred forty".