27339693372 has 96 divisors (see below), whose sum is σ = 72256665600. Its totient is φ = 8937864000.

The previous prime is 27339693361. The next prime is 27339693377.

27339693372 is a `hidden beast` number, since 273 + 39 + 6 + 9 + 337 + 2 = 666.

27339693372 is nontrivially palindromic in base 10.

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 (27339693377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277722 + ... + 1298942.

It is an arithmetic number, because the mean of its divisors is an integer number (752673600).

Almost surely, 2^27339693372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27339693372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36128332800).

27339693372 is an abundant number, since it is smaller than the sum of its proper divisors (44916972228).

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

27339693372 is a wasteful number, since it uses less digits than its factorization.

27339693372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21464 (or 21456 counting only the distinct ones).

The product of its digits is 7715736, while the sum is 54.

The spelling of 27339693372 in words is "twenty-seven billion, three hundred thirty-nine million, six hundred ninety-three thousand, three hundred seventy-two".