27766940481 has 32 divisors (see below), whose sum is σ = 47428888320. Its totient is φ = 15726396672.

The previous prime is 27766940479. The next prime is 27766940483. The reversal of 27766940481 is 18404966772.

27766940481 is a `hidden beast` number, since 2 + 7 + 76 + 6 + 94 + 0 + 481 = 666.

It is an interprime number because it is at equal distance from previous prime (27766940479) and next prime (27766940483).

It is not a de Polignac number, because 27766940481 - 2¹ = 27766940479 is a prime.

It is a super-2 number, since 2×27766940481² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27766940483) 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 31 ways as a sum of consecutive naturals, for example, 628710 + ... + 671423.

It is an arithmetic number, because the mean of its divisors is an integer number (1482152760).

Almost surely, 2^27766940481 is an apocalyptic number.

27766940481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27766940481 is a deficient number, since it is larger than the sum of its proper divisors (19661947839).

27766940481 is a wasteful number, since it uses less digits than its factorization.

27766940481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300262 (or 1300256 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 27766940481 in words is "twenty-seven billion, seven hundred sixty-six million, nine hundred forty thousand, four hundred eighty-one".