27468467768 has 64 divisors (see below), whose sum is σ = 60335573760. Its totient is φ = 11478249216.

The previous prime is 27468467753. The next prime is 27468467783. The reversal of 27468467768 is 86776486472.

It is an interprime number because it is at equal distance from previous prime (27468467753) and next prime (27468467783).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1403780 + ... + 1423212.

It is an arithmetic number, because the mean of its divisors is an integer number (942743340).

Almost surely, 2^27468467768 is an apocalyptic number.

27468467768 is a gapful number since it is divisible by the number (28) 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 27468467768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30167786880).

27468467768 is an abundant number, since it is smaller than the sum of its proper divisors (32867105992).

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

27468467768 is a wasteful number, since it uses less digits than its factorization.

27468467768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20076 (or 20072 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 65.

The spelling of 27468467768 in words is "twenty-seven billion, four hundred sixty-eight million, four hundred sixty-seven thousand, seven hundred sixty-eight".