27806617740 has 192 divisors, whose sum is σ = 88800509952. Its totient is φ = 6435475200.

The previous prime is 27806617721. The next prime is 27806617771. The reversal of 27806617740 is 4771660872.

It is a self number, because there is not a number n which added to its sum of digits gives 27806617740.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9577129 + ... + 9580031.

It is an arithmetic number, because the mean of its divisors is an integer number (462502656).

Almost surely, 2^27806617740 is an apocalyptic number.

27806617740 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 27806617740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44400254976).

27806617740 is an abundant number, since it is smaller than the sum of its proper divisors (60993892212).

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

27806617740 is a wasteful number, since it uses less digits than its factorization.

27806617740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

It can be divided in two parts, 27806 and 617740, that added together give a palindrome (645546).

The spelling of 27806617740 in words is "twenty-seven billion, eight hundred six million, six hundred seventeen thousand, seven hundred forty".