27643880880 has 800 divisors, whose sum is σ = 126782599680. Its totient is φ = 5404631040.

The previous prime is 27643880851. The next prime is 27643880903. The reversal of 27643880880 is 8808834672.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8480691 + ... + 8483949.

Almost surely, 2^27643880880 is an apocalyptic number.

27643880880 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 27643880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63391299840).

27643880880 is an abundant number, since it is smaller than the sum of its proper divisors (99138718800).

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

27643880880 is a wasteful number, since it uses less digits than its factorization.

27643880880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 27643880880 in words is "twenty-seven billion, six hundred forty-three million, eight hundred eighty thousand, eight hundred eighty".