27775449320760 has 768 divisors, whose sum is σ = 95485363384320. Its totient is φ = 6994681344000.

The previous prime is 27775449320741. The next prime is 27775449320803. The reversal of 27775449320760 is 6702394457772.

27775449320760 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 54 + 493 + 20 + 76 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33831241150 + ... + 33831241970.

It is an arithmetic number, because the mean of its divisors is an integer number (124329900240).

Almost surely, 2^{27775449320760} is an apocalyptic number.

27775449320760 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 27775449320760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47742681692160).

27775449320760 is an abundant number, since it is smaller than the sum of its proper divisors (67709914063560).

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

27775449320760 is a wasteful number, since it uses less digits than its factorization.

27775449320760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 27775449320760 in words is "twenty-seven trillion, seven hundred seventy-five billion, four hundred forty-nine million, three hundred twenty thousand, seven hundred sixty".