27947315682 has 256 divisors, whose sum is σ = 79067197440. Its totient is φ = 7185024000.

The previous prime is 27947315681. The next prime is 27947315731. The reversal of 27947315682 is 28651374972.

It is a happy number.

27947315682 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 73 + 1 + 568 + 2 = 666.

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

Its product of digits (5080320) is a multiple of the sum of its prime divisors (5040).

It is not an unprimeable number, because it can be changed into a prime (27947315681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5642307 + ... + 5647257.

It is an arithmetic number, because the mean of its divisors is an integer number (308856240).

Almost surely, 2^27947315682 is an apocalyptic number.

27947315682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27947315682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39533598720).

27947315682 is an abundant number, since it is smaller than the sum of its proper divisors (51119881758).

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

27947315682 is a wasteful number, since it uses less digits than its factorization.

27947315682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5040 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 27947315682 in words is "twenty-seven billion, nine hundred forty-seven million, three hundred fifteen thousand, six hundred eighty-two".