275677668 has 144 divisors (see below), whose sum is σ = 853192704. Its totient is φ = 76165920.

The previous prime is 275677667. The next prime is 275677691. The reversal of 275677668 is 866776572.

275677668 is a `hidden beast` number, since 2 + 7 + 567 + 76 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (275677667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210271 + ... + 211577.

Almost surely, 2^275677668 is an apocalyptic number.

275677668 is a gapful number since it is divisible by the number (28) 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 275677668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426596352).

275677668 is an abundant number, since it is smaller than the sum of its proper divisors (577515036).

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

275677668 is a wasteful number, since it uses less digits than its factorization.

275677668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1350 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 275677668 is about 16603.5438385906. The cubic root of 275677668 is about 650.8294484097.

The spelling of 275677668 in words is "two hundred seventy-five million, six hundred seventy-seven thousand, six hundred sixty-eight".