27006295680 has 768 divisors, whose sum is σ = 116641324800. Its totient is φ = 5605687296.

The previous prime is 27006295661. The next prime is 27006295717. The reversal of 27006295680 is 8659260072.

27006295680 is a `hidden beast` number, since 27 + 0 + 0 + 62 + 9 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35118336 + ... + 35119104.

It is an arithmetic number, because the mean of its divisors is an integer number (151876725).

Almost surely, 2^27006295680 is an apocalyptic number.

27006295680 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 27006295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320662400).

27006295680 is an abundant number, since it is smaller than the sum of its proper divisors (89635029120).

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

27006295680 is a wasteful number, since it uses less digits than its factorization.

27006295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27006295680 in words is "twenty-seven billion, six million, two hundred ninety-five thousand, six hundred eighty".