27846944640 has 192 divisors, whose sum is σ = 99720981360. Its totient is φ = 7425810432.

The previous prime is 27846944539. The next prime is 27846944677. The reversal of 27846944640 is 4644964872.

27846944640 is a `hidden beast` number, since 27 + 84 + 69 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 65992 + ... + 245048.

Almost surely, 2^27846944640 is an apocalyptic number.

27846944640 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 27846944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49860490680).

27846944640 is an abundant number, since it is smaller than the sum of its proper divisors (71874036720).

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

27846944640 is an equidigital number, since it uses as much as digits as its factorization.

27846944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179091 (or 179067 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 27846944640 in words is "twenty-seven billion, eight hundred forty-six million, nine hundred forty-four thousand, six hundred forty".