27664681006080 has 1760 divisors, whose sum is σ = 104518365811200. Its totient is φ = 6990929068032.

The previous prime is 27664681006063. The next prime is 27664681006097. The reversal of 27664681006080 is 8060018646672.

27664681006080 is a `hidden beast` number, since 2 + 76 + 6 + 468 + 100 + 6 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27664681006063) and next prime (27664681006097).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102842680186 + ... + 102842680454.

It is an arithmetic number, because the mean of its divisors is an integer number (59385435120).

Almost surely, 2^{27664681006080} is an apocalyptic number.

27664681006080 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 27664681006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52259182905600).

27664681006080 is an abundant number, since it is smaller than the sum of its proper divisors (76853684805120).

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

27664681006080 is a wasteful number, since it uses less digits than its factorization.

27664681006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27664681006080 in words is "twenty-seven trillion, six hundred sixty-four billion, six hundred eighty-one million, six thousand, eighty".