27720945584640 has 5760 divisors, whose sum is σ = 139909230236160. Its totient is φ = 5155675176960.

The previous prime is 27720945584621. The next prime is 27720945584681. The reversal of 27720945584640 is 4648554902772.

27720945584640 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 0 + 9 + 4 + 5 + 584 + 6 + 40 = 666.

27720945584640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×27720945584640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 160236679594 + ... + 160236679766.

It is an arithmetic number, because the mean of its divisors is an integer number (24289796916).

Almost surely, 2^{27720945584640} is an apocalyptic number.

27720945584640 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 27720945584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69954615118080).

27720945584640 is an abundant number, since it is smaller than the sum of its proper divisors (112188284651520).

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

27720945584640 is a wasteful number, since it uses less digits than its factorization.

27720945584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 27720945584640 in words is "twenty-seven trillion, seven hundred twenty billion, nine hundred forty-five million, five hundred eighty-four thousand, six hundred forty".