27994068000 has 288 divisors, whose sum is σ = 104582499840. Its totient is φ = 7072012800.

The previous prime is 27994067917. The next prime is 27994068001. The reversal of 27994068000 is 86049972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27994068001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663537 + ... + 704463.

It is an arithmetic number, because the mean of its divisors is an integer number (363133680).

Almost surely, 2^27994068000 is an apocalyptic number.

27994068000 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 27994068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52291249920).

27994068000 is an abundant number, since it is smaller than the sum of its proper divisors (76588431840).

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

27994068000 is a wasteful number, since it uses less digits than its factorization.

27994068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40977 (or 40956 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 27994068000 in words is "twenty-seven billion, nine hundred ninety-four million, sixty-eight thousand".