27784270080 has 648 divisors, whose sum is σ = 116030783232. Its totient is φ = 6347206656.

The previous prime is 27784270013. The next prime is 27784270097. The reversal of 27784270080 is 8007248772.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240049 + ... + 15241871.

Almost surely, 2^27784270080 is an apocalyptic number.

27784270080 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 27784270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58015391616).

27784270080 is an abundant number, since it is smaller than the sum of its proper divisors (88246513152).

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

27784270080 is an equidigital number, since it uses as much as digits as its factorization.

27784270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 27784270080 in words is "twenty-seven billion, seven hundred eighty-four million, two hundred seventy thousand, eighty".