27765276480 has 336 divisors, whose sum is σ = 99000405504. Its totient is φ = 7134842880.

The previous prime is 27765276457. The next prime is 27765276607. The reversal of 27765276480 is 8467256772.

27765276480 is a `hidden beast` number, since 2 + 7 + 76 + 527 + 6 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27408454 + ... + 27409466.

It is an arithmetic number, because the mean of its divisors is an integer number (294644064).

Almost surely, 2^27765276480 is an apocalyptic number.

27765276480 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 27765276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49500202752).

27765276480 is an abundant number, since it is smaller than the sum of its proper divisors (71235129024).

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

27765276480 is a wasteful number, since it uses less digits than its factorization.

27765276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 27765276480 in words is "twenty-seven billion, seven hundred sixty-five million, two hundred seventy-six thousand, four hundred eighty".