27668676672 has 336 divisors, whose sum is σ = 103353973632. Its totient is φ = 6867763200.

The previous prime is 27668676649. The next prime is 27668676683. The reversal of 27668676672 is 27667686672.

It is a tau number, because it is divible by the number of its divisors (336).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875547 + ... + 906597.

It is an arithmetic number, because the mean of its divisors is an integer number (307601112).

Almost surely, 2^27668676672 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 27668676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51676986816).

27668676672 is an abundant number, since it is smaller than the sum of its proper divisors (75685296960).

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

27668676672 is a wasteful number, since it uses less digits than its factorization.

27668676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31106 (or 31093 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 27668676672 in words is "twenty-seven billion, six hundred sixty-eight million, six hundred seventy-six thousand, six hundred seventy-two".