27663422040 has 384 divisors, whose sum is σ = 101047564800. Its totient is φ = 6526586880.

The previous prime is 27663422011. The next prime is 27663422041. The reversal of 27663422040 is 4022436672.

27663422040 is a `hidden beast` number, since 276 + 6 + 342 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27663421986 and 27663422004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27663422041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8303175 + ... + 8306505.

It is an arithmetic number, because the mean of its divisors is an integer number (263144700).

Almost surely, 2^27663422040 is an apocalyptic number.

27663422040 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 27663422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50523782400).

27663422040 is an abundant number, since it is smaller than the sum of its proper divisors (73384142760).

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

27663422040 is a wasteful number, since it uses less digits than its factorization.

27663422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 27663422040 in words is "twenty-seven billion, six hundred sixty-three million, four hundred twenty-two thousand, forty".