27774197568 has 560 divisors, whose sum is σ = 94660720000. Its totient is φ = 7981535232.

The previous prime is 27774197543. The next prime is 27774197599. The reversal of 27774197568 is 86579147772.

27774197568 is a `hidden beast` number, since 27 + 7 + 7 + 41 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×27774197568² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 139568733 + ... + 139568931.

It is an arithmetic number, because the mean of its divisors is an integer number (169037000).

Almost surely, 2^27774197568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27774197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330360000).

27774197568 is an abundant number, since it is smaller than the sum of its proper divisors (66886522432).

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

27774197568 is a wasteful number, since it uses less digits than its factorization.

27774197568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 345 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 63.

The spelling of 27774197568 in words is "twenty-seven billion, seven hundred seventy-four million, one hundred ninety-seven thousand, five hundred sixty-eight".