27320777680 has 80 divisors (see below), whose sum is σ = 72769092480. Its totient is φ = 9344687616.

The previous prime is 27320777651. The next prime is 27320777681. The reversal of 27320777680 is 8677702372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27320777681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176422 + ... + 292858.

It is an arithmetic number, because the mean of its divisors is an integer number (909613656).

Almost surely, 2^27320777680 is an apocalyptic number.

27320777680 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 27320777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36384546240).

27320777680 is an abundant number, since it is smaller than the sum of its proper divisors (45448314800).

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

27320777680 is a wasteful number, since it uses less digits than its factorization.

27320777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116876 (or 116870 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 49.

The spelling of 27320777680 in words is "twenty-seven billion, three hundred twenty million, seven hundred seventy-seven thousand, six hundred eighty".