27668196864 has 960 divisors, whose sum is σ = 109717977600. Its totient is φ = 6715146240.

The previous prime is 27668196859. The next prime is 27668196887. The reversal of 27668196864 is 46869186672.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199051707 + ... + 199051845.

It is an arithmetic number, because the mean of its divisors is an integer number (114289560).

Almost surely, 2^27668196864 is an apocalyptic number.

27668196864 is a gapful number since it is divisible by the number (24) 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 27668196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54858988800).

27668196864 is an abundant number, since it is smaller than the sum of its proper divisors (82049780736).

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

27668196864 is a wasteful number, since it uses less digits than its factorization.

27668196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 27668196864 in words is "twenty-seven billion, six hundred sixty-eight million, one hundred ninety-six thousand, eight hundred sixty-four".