27671005692 has 144 divisors (see below), whose sum is σ = 79727880960. Its totient is φ = 8009971200.

The previous prime is 27671005679. The next prime is 27671005693. The reversal of 27671005692 is 29650017672.

27671005692 is a `hidden beast` number, since 2 + 76 + 7 + 10 + 0 + 569 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27671005693) 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 47 ways as a sum of consecutive naturals, for example, 9188467 + ... + 9191477.

It is an arithmetic number, because the mean of its divisors is an integer number (553665840).

Almost surely, 2^27671005692 is an apocalyptic number.

27671005692 is a gapful number since it is divisible by the number (22) 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 27671005692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39863940480).

27671005692 is an abundant number, since it is smaller than the sum of its proper divisors (52056875268).

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

27671005692 is a wasteful number, since it uses less digits than its factorization.

27671005692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 27671005692 in words is "twenty-seven billion, six hundred seventy-one million, five thousand, six hundred ninety-two".