27079680660 has 96 divisors (see below), whose sum is σ = 79406514432. Its totient is φ = 6882247680.

The previous prime is 27079680653. The next prime is 27079680673. The reversal of 27079680660 is 6608697072.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346840 + ... + 417680.

It is an arithmetic number, because the mean of its divisors is an integer number (827151192).

Almost surely, 2^27079680660 is an apocalyptic number.

27079680660 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 27079680660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39703257216).

27079680660 is an abundant number, since it is smaller than the sum of its proper divisors (52326833772).

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

27079680660 is a wasteful number, since it uses less digits than its factorization.

27079680660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71153 (or 71151 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 27079680660 in words is "twenty-seven billion, seventy-nine million, six hundred eighty thousand, six hundred sixty".