27783846720 has 1344 divisors, whose sum is σ = 123422054400. Its totient is φ = 5852528640.

The previous prime is 27783846707. The next prime is 27783846731. The reversal of 27783846720 is 2764838772.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380600604 + ... + 380600676.

Almost surely, 2^27783846720 is an apocalyptic number.

27783846720 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 27783846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61711027200).

27783846720 is an abundant number, since it is smaller than the sum of its proper divisors (95638207680).

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

27783846720 is a wasteful number, since it uses less digits than its factorization.

27783846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

It can be divided in two parts, 27783 and 846720, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 27783846720 in words is "twenty-seven billion, seven hundred eighty-three million, eight hundred forty-six thousand, seven hundred twenty".