27674367863660 has 192 divisors, whose sum is σ = 71669992568832. Its totient is φ = 8759563997184.

The previous prime is 27674367863633. The next prime is 27674367863669. The reversal of 27674367863660 is 6636876347672.

It is not an unprimeable number, because it can be changed into a prime (27674367863669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557892419 + ... + 557942021.

It is an arithmetic number, because the mean of its divisors is an integer number (373281211296).

Almost surely, 2^{27674367863660} is an apocalyptic number.

27674367863660 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 27674367863660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834996284416).

27674367863660 is an abundant number, since it is smaller than the sum of its proper divisors (43995624705172).

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

27674367863660 is a wasteful number, since it uses less digits than its factorization.

27674367863660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54112 (or 54110 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 71.

The spelling of 27674367863660 in words is "twenty-seven trillion, six hundred seventy-four billion, three hundred sixty-seven million, eight hundred sixty-three thousand, six hundred sixty".