27771641680 has 40 divisors (see below), whose sum is σ = 64789493832. Its totient is φ = 11070733824.

The previous prime is 27771641603. The next prime is 27771641687. The reversal of 27771641680 is 8614617772.

It can be written as a sum of positive squares in 4 ways, for example, as 1833894976 + 25937746704 = 42824^2 + 161052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27771641687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568959 + ... + 615838.

Almost surely, 2^27771641680 is an apocalyptic number.

27771641680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27771641680 is an abundant number, since it is smaller than the sum of its proper divisors (37017852152).

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

27771641680 is a wasteful number, since it uses less digits than its factorization.

27771641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185103 (or 1185097 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 27771641680 in words is "twenty-seven billion, seven hundred seventy-one million, six hundred forty-one thousand, six hundred eighty".