27782922240 has 600 divisors, whose sum is σ = 102767797440. Its totient is φ = 7176978432.

The previous prime is 27782922239. The next prime is 27782922241. The reversal of 27782922240 is 4222928772.

It is an interprime number because it is at equal distance from previous prime (27782922239) and next prime (27782922241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27782922241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 351682521 + ... + 351682599.

Almost surely, 2^27782922240 is an apocalyptic number.

27782922240 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 27782922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51383898720).

27782922240 is an abundant number, since it is smaller than the sum of its proper divisors (74984875200).

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

27782922240 is an frugal number, since it uses more digits than its factorization.

27782922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27782922240 in words is "twenty-seven billion, seven hundred eighty-two million, nine hundred twenty-two thousand, two hundred forty".