27760267304 has 64 divisors (see below), whose sum is σ = 65009001600. Its totient is φ = 10796544000.

The previous prime is 27760267303. The next prime is 27760267307. The reversal of 27760267304 is 40376206772.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (27760267303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310904 + ... + 390104.

It is an arithmetic number, because the mean of its divisors is an integer number (1015765650).

Almost surely, 2^27760267304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27760267304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32504500800).

27760267304 is an abundant number, since it is smaller than the sum of its proper divisors (37248734296).

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

27760267304 is a wasteful number, since it uses less digits than its factorization.

27760267304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79794 (or 79790 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 44.

The spelling of 27760267304 in words is "twenty-seven billion, seven hundred sixty million, two hundred sixty-seven thousand, three hundred four".