27768037220 has 96 divisors (see below), whose sum is σ = 72898189056. Its totient is φ = 8631590400.

The previous prime is 27768037189. The next prime is 27768037229. The reversal of 27768037220 is 2273086772.

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 (27768037229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550250 + ... + 598590.

It is an arithmetic number, because the mean of its divisors is an integer number (759356136).

Almost surely, 2^27768037220 is an apocalyptic number.

27768037220 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 27768037220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36449094528).

27768037220 is an abundant number, since it is smaller than the sum of its proper divisors (45130151836).

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

27768037220 is a wasteful number, since it uses less digits than its factorization.

27768037220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48741 (or 48739 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The spelling of 27768037220 in words is "twenty-seven billion, seven hundred sixty-eight million, thirty-seven thousand, two hundred twenty".