27768867840 has 1056 divisors, whose sum is σ = 121397253120. Its totient is φ = 5722472448.

The previous prime is 27768867829. The next prime is 27768867857. The reversal of 27768867840 is 4876886772.

It is a super-2 number, since 2×27768867840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140958622 + ... + 140958818.

It is an arithmetic number, because the mean of its divisors is an integer number (114959520).

Almost surely, 2^27768867840 is an apocalyptic number.

27768867840 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 27768867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60698626560).

27768867840 is an abundant number, since it is smaller than the sum of its proper divisors (93628385280).

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

27768867840 is a wasteful number, since it uses less digits than its factorization.

27768867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 27768867840 in words is "twenty-seven billion, seven hundred sixty-eight million, eight hundred sixty-seven thousand, eight hundred forty".