27777671376 has 320 divisors, whose sum is σ = 93494016000. Its totient is φ = 6901106688.

The previous prime is 27777671333. The next prime is 27777671381. The reversal of 27777671376 is 67317677772.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16348575 + ... + 16350273.

It is an arithmetic number, because the mean of its divisors is an integer number (292168800).

Almost surely, 2^27777671376 is an apocalyptic number.

27777671376 is a gapful number since it is divisible by the number (26) 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 27777671376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46747008000).

27777671376 is an abundant number, since it is smaller than the sum of its proper divisors (65716344624).

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

27777671376 is a wasteful number, since it uses less digits than its factorization.

27777671376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its digits is 25412184, while the sum is 60.

It can be divided in two parts, 27777 and 671376, that added together give a triangular number (699153 = T₁₁₈₂).

The spelling of 27777671376 in words is "twenty-seven billion, seven hundred seventy-seven million, six hundred seventy-one thousand, three hundred seventy-six".