27712903680 has 1280 divisors, whose sum is σ = 126711889920. Its totient is φ = 5573836800.

The previous prime is 27712903679. The next prime is 27712903693. The reversal of 27712903680 is 8630921772.

27712903680 is a `hidden beast` number, since 277 + 12 + 9 + 0 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218211777 + ... + 218211903.

It is an arithmetic number, because the mean of its divisors is an integer number (98993664).

Almost surely, 2^27712903680 is an apocalyptic number.

27712903680 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 27712903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63355944960).

27712903680 is an abundant number, since it is smaller than the sum of its proper divisors (98998986240).

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

27712903680 is a wasteful number, since it uses less digits than its factorization.

27712903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27712903680 in words is "twenty-seven billion, seven hundred twelve million, nine hundred three thousand, six hundred eighty".