27667773420 has 384 divisors, whose sum is σ = 95181864960. Its totient is φ = 5871191040.

The previous prime is 27667773409. The next prime is 27667773421. The reversal of 27667773420 is 2437776672.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27667773421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38057097 + ... + 38057823.

It is an arithmetic number, because the mean of its divisors is an integer number (247869440).

Almost surely, 2^27667773420 is an apocalyptic number.

27667773420 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 27667773420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47590932480).

27667773420 is an abundant number, since it is smaller than the sum of its proper divisors (67514091540).

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

27667773420 is a wasteful number, since it uses less digits than its factorization.

27667773420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 51.

The spelling of 27667773420 in words is "twenty-seven billion, six hundred sixty-seven million, seven hundred seventy-three thousand, four hundred twenty".