27668338992 has 400 divisors, whose sum is σ = 98603887360. Its totient is φ = 7313048064.

The previous prime is 27668338991. The next prime is 27668339047. The reversal of 27668338992 is 29983386672.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27668338991) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7409958 + ... + 7413690.

Almost surely, 2^27668338992 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 27668338992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49301943680).

27668338992 is an abundant number, since it is smaller than the sum of its proper divisors (70935548368).

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

27668338992 is a wasteful number, since it uses less digits than its factorization.

27668338992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3807 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 27668338992 in words is "twenty-seven billion, six hundred sixty-eight million, three hundred thirty-eight thousand, nine hundred ninety-two".