27677700000 has 864 divisors, whose sum is σ = 109636607808. Its totient is φ = 6842880000.

The previous prime is 27677699927. The next prime is 27677700019. The reversal of 27677700000 is 777672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 413099967 + ... + 413100033.

It is an arithmetic number, because the mean of its divisors is an integer number (126894222).

Almost surely, 2^27677700000 is an apocalyptic number.

27677700000 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 27677700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54818303904).

27677700000 is an abundant number, since it is smaller than the sum of its proper divisors (81958907808).

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

27677700000 is an frugal number, since it uses more digits than its factorization.

27677700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 27677700000 in words is "twenty-seven billion, six hundred seventy-seven million, seven hundred thousand".