27816673320 has 160 divisors (see below), whose sum is σ = 93830722920. Its totient is φ = 7391139840.

The previous prime is 27816673289. The next prime is 27816673361. The reversal of 27816673320 is 2337661872.

It can be written as a sum of positive squares in 4 ways, for example, as 20410693956 + 7405979364 = 142866^2 + 86058^2 .

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 39 ways as a sum of consecutive naturals, for example, 895164 + ... + 925716.

Almost surely, 2^27816673320 is an apocalyptic number.

27816673320 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 27816673320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46915361460).

27816673320 is an abundant number, since it is smaller than the sum of its proper divisors (66014049600).

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

27816673320 is a wasteful number, since it uses less digits than its factorization.

27816673320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30857 (or 30844 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 27816673320 in words is "twenty-seven billion, eight hundred sixteen million, six hundred seventy-three thousand, three hundred twenty".