27338882940 has 192 divisors, whose sum is σ = 87640963200. Its totient is φ = 7071787008.

The previous prime is 27338882917. The next prime is 27338882947. The reversal of 27338882940 is 4928883372.

27338882940 is a `hidden beast` number, since 273 + 3 + 8 + 88 + 294 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27338882947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2541814 + ... + 2552546.

It is an arithmetic number, because the mean of its divisors is an integer number (456463350).

Almost surely, 2^27338882940 is an apocalyptic number.

27338882940 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 27338882940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43820481600).

27338882940 is an abundant number, since it is smaller than the sum of its proper divisors (60302080260).

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

27338882940 is a wasteful number, since it uses less digits than its factorization.

27338882940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27338882940 in words is "twenty-seven billion, three hundred thirty-eight million, eight hundred eighty-two thousand, nine hundred forty".