27468768000 has 288 divisors, whose sum is σ = 92173378752. Its totient is φ = 7249920000.

The previous prime is 27468767999. The next prime is 27468768017. The reversal of 27468768000 is 86786472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9694584 + ... + 9697416.

It is an arithmetic number, because the mean of its divisors is an integer number (320046454).

Almost surely, 2^27468768000 is an apocalyptic number.

27468768000 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 27468768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46086689376).

27468768000 is an abundant number, since it is smaller than the sum of its proper divisors (64704610752).

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

27468768000 is a wasteful number, since it uses less digits than its factorization.

27468768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 27468768000 in words is "twenty-seven billion, four hundred sixty-eight million, seven hundred sixty-eight thousand".