27746642880 has 448 divisors, whose sum is σ = 107612444160. Its totient is φ = 6674227200.

The previous prime is 27746642849. The next prime is 27746642909. The reversal of 27746642880 is 8824664772.

It is a happy number.

It is a super-2 number, since 2×27746642880² (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13019415 + ... + 13021545.

Almost surely, 2^27746642880 is an apocalyptic number.

27746642880 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 27746642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53806222080).

27746642880 is an abundant number, since it is smaller than the sum of its proper divisors (79865801280).

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

27746642880 is a wasteful number, since it uses less digits than its factorization.

27746642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 27746642880 in words is "twenty-seven billion, seven hundred forty-six million, six hundred forty-two thousand, eight hundred eighty".