27836941680 has 80 divisors (see below), whose sum is σ = 95882806560. Its totient is φ = 7423183872.

The previous prime is 27836941679. The next prime is 27836941681. The reversal of 27836941680 is 8614963872.

27836941680 is a `hidden beast` number, since 278 + 369 + 4 + 1 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27836941679) and next prime (27836941681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27836941681) 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 15 ways as a sum of consecutive naturals, for example, 6441577 + ... + 6445896.

It is an arithmetic number, because the mean of its divisors is an integer number (1198535082).

Almost surely, 2^27836941680 is an apocalyptic number.

27836941680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27836941680 is an abundant number, since it is smaller than the sum of its proper divisors (68045864880).

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

27836941680 is a wasteful number, since it uses less digits than its factorization.

27836941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12887495 (or 12887483 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27836941680 in words is "twenty-seven billion, eight hundred thirty-six million, nine hundred forty-one thousand, six hundred eighty".