27681315840 has 528 divisors, whose sum is σ = 104791989120. Its totient is φ = 6987202560.

The previous prime is 27681315829. The next prime is 27681315841. The reversal of 27681315840 is 4851318672.

27681315840 is a `hidden beast` number, since 2 + 7 + 68 + 1 + 3 + 1 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27681315841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23638455 + ... + 23639625.

Almost surely, 2^27681315840 is an apocalyptic number.

27681315840 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 27681315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52395994560).

27681315840 is an abundant number, since it is smaller than the sum of its proper divisors (77110673280).

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

27681315840 is a wasteful number, since it uses less digits than its factorization.

27681315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 27681315840 in words is "twenty-seven billion, six hundred eighty-one million, three hundred fifteen thousand, eight hundred forty".