677177568 has 72 divisors (see below), whose sum is σ = 1928738448. Its totient is φ = 225372672.

The previous prime is 677177561. The next prime is 677177591. The reversal of 677177568 is 865771776.

677177568 is a `hidden beast` number, since 6 + 7 + 7 + 1 + 77 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677177561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235596 + ... + 238452.

It is an arithmetic number, because the mean of its divisors is an integer number (26788034).

Almost surely, 2^677177568 is an apocalyptic number.

It is an amenable number.

677177568 is an abundant number, since it is smaller than the sum of its proper divisors (1251560880).

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

677177568 is a wasteful number, since it uses less digits than its factorization.

677177568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3685 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 54.

The square root of 677177568 is about 26022.6356851108. The cubic root of 677177568 is about 878.1476048317.

The spelling of 677177568 in words is "six hundred seventy-seven million, one hundred seventy-seven thousand, five hundred sixty-eight".