27071234640 has 160 divisors (see below), whose sum is σ = 93594009600. Its totient is φ = 7192005120.

The previous prime is 27071234629. The next prime is 27071234677. The reversal of 27071234640 is 4643217072.

27071234640 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 1 + 2 + 3 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27071234595 and 27071234604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557745 + ... + 604335.

It is an arithmetic number, because the mean of its divisors is an integer number (584962560).

Almost surely, 2^27071234640 is an apocalyptic number.

27071234640 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 27071234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46797004800).

27071234640 is an abundant number, since it is smaller than the sum of its proper divisors (66522774960).

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

27071234640 is a wasteful number, since it uses less digits than its factorization.

27071234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46882 (or 46870 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27071234640 in words is "twenty-seven billion, seventy-one million, two hundred thirty-four thousand, six hundred forty".