27736642080 has 1008 divisors, whose sum is σ = 119821270464. Its totient is φ = 6035420160.

The previous prime is 27736642079. The next prime is 27736642081. The reversal of 27736642080 is 8024663772.

27736642080 is a `hidden beast` number, since 27 + 73 + 66 + 420 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (27736642079) and next prime (27736642081).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27736642081) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 131453175 + ... + 131453385.

It is an arithmetic number, because the mean of its divisors is an integer number (118870308).

Almost surely, 2^27736642080 is an apocalyptic number.

27736642080 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 27736642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59910635232).

27736642080 is an abundant number, since it is smaller than the sum of its proper divisors (92084628384).

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

27736642080 is a wasteful number, since it uses less digits than its factorization.

27736642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 27736642080 in words is "twenty-seven billion, seven hundred thirty-six million, six hundred forty-two thousand, eighty".