27659427840 has 672 divisors, whose sum is σ = 110408313600. Its totient is φ = 6334709760.

The previous prime is 27659427793. The next prime is 27659427863. The reversal of 27659427840 is 4872495672.

27659427840 is a `hidden beast` number, since 2 + 7 + 6 + 594 + 2 + 7 + 8 + 40 = 666.

It is a congruent number.

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, 77045581 + ... + 77045939.

Almost surely, 2^27659427840 is an apocalyptic number.

27659427840 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 27659427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55204156800).

27659427840 is an abundant number, since it is smaller than the sum of its proper divisors (82748885760).

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

27659427840 is a wasteful number, since it uses less digits than its factorization.

27659427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 27659427840 in words is "twenty-seven billion, six hundred fifty-nine million, four hundred twenty-seven thousand, eight hundred forty".