27783463968 has 240 divisors, whose sum is σ = 88210001880. Its totient is φ = 8527970304.

The previous prime is 27783463951. The next prime is 27783463973. The reversal of 27783463968 is 86936438772.

27783463968 is a `hidden beast` number, since 2 + 7 + 7 + 83 + 463 + 96 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21436473744 + 6346990224 = 146412^2 + 79668^2 .

It is a super-2 number, since 2×27783463968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19441878 + ... + 19443306.

Almost surely, 2^27783463968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27783463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44105000940).

27783463968 is an abundant number, since it is smaller than the sum of its proper divisors (60426537912).

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

27783463968 is a wasteful number, since it uses less digits than its factorization.

27783463968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2024 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 27783463968 in words is "twenty-seven billion, seven hundred eighty-three million, four hundred sixty-three thousand, nine hundred sixty-eight".