27632768949120 has 1024 divisors, whose sum is σ = 97967596953600. Its totient is φ = 6597299404800.

The previous prime is 27632768949077. The next prime is 27632768949127. The reversal of 27632768949120 is 2194986723672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27632768949127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14444729284 + ... + 14444731196.

It is an arithmetic number, because the mean of its divisors is an integer number (95671481400).

Almost surely, 2^{27632768949120} is an apocalyptic number.

27632768949120 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 27632768949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48983798476800).

27632768949120 is an abundant number, since it is smaller than the sum of its proper divisors (70334828004480).

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

27632768949120 is a wasteful number, since it uses less digits than its factorization.

27632768949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 27632768949120 in words is "twenty-seven trillion, six hundred thirty-two billion, seven hundred sixty-eight million, nine hundred forty-nine thousand, one hundred twenty".