27779449680 has 480 divisors, whose sum is σ = 102485440512. Its totient is φ = 6721228800.

The previous prime is 27779449667. The next prime is 27779449693. The reversal of 27779449680 is 8694497772.

27779449680 is a `hidden beast` number, since 2 + 77 + 79 + 4 + 496 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27779449667) and next prime (27779449693).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 27207570 + ... + 27208590.

Almost surely, 2^27779449680 is an apocalyptic number.

27779449680 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 27779449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51242720256).

27779449680 is an abundant number, since it is smaller than the sum of its proper divisors (74705990832).

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

27779449680 is a wasteful number, since it uses less digits than its factorization.

27779449680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 27779449680 in words is "twenty-seven billion, seven hundred seventy-nine million, four hundred forty-nine thousand, six hundred eighty".