27632301312 has 288 divisors, whose sum is σ = 96518661120. Its totient is φ = 6799196160.

The previous prime is 27632301287. The next prime is 27632301343. The reversal of 27632301312 is 21310323672.

It is a self number, because there is not a number n which added to its sum of digits gives 27632301312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111288 + ... + 1135880.

It is an arithmetic number, because the mean of its divisors is an integer number (335134240).

Almost surely, 2^27632301312 is an apocalyptic number.

27632301312 is a gapful number since it is divisible by the number (22) 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 27632301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48259330560).

27632301312 is an abundant number, since it is smaller than the sum of its proper divisors (68886359808).

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

27632301312 is a wasteful number, since it uses less digits than its factorization.

27632301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24649 (or 24635 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

Adding to 27632301312 its reverse (21310323672), we get a palindrome (48942624984).

The spelling of 27632301312 in words is "twenty-seven billion, six hundred thirty-two million, three hundred one thousand, three hundred twelve".