27808399680 has 224 divisors, whose sum is σ = 89762770944. Its totient is φ = 7292872704.

The previous prime is 27808399673. The next prime is 27808399699. The reversal of 27808399680 is 8699380872.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20955177 + ... + 20956503.

It is an arithmetic number, because the mean of its divisors is an integer number (400726656).

Almost surely, 2^27808399680 is an apocalyptic number.

27808399680 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 27808399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44881385472).

27808399680 is an abundant number, since it is smaller than the sum of its proper divisors (61954371264).

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

27808399680 is a wasteful number, since it uses less digits than its factorization.

27808399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 27808399680 in words is "twenty-seven billion, eight hundred eight million, three hundred ninety-nine thousand, six hundred eighty".