27845784340 has 96 divisors (see below), whose sum is σ = 67527250560. Its totient is φ = 9549120000.

The previous prime is 27845784319. The next prime is 27845784349. The reversal of 27845784340 is 4348754872.

It is a super-4 number, since 4×27845784340⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27845784349) 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, 223590 + ... + 325090.

It is an arithmetic number, because the mean of its divisors is an integer number (703408860).

Almost surely, 2^27845784340 is an apocalyptic number.

27845784340 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 27845784340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33763625280).

27845784340 is an abundant number, since it is smaller than the sum of its proper divisors (39681466220).

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

27845784340 is a wasteful number, since it uses less digits than its factorization.

27845784340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101593 (or 101591 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 52.

The spelling of 27845784340 in words is "twenty-seven billion, eight hundred forty-five million, seven hundred eighty-four thousand, three hundred forty".