677561105205 has 24 divisors (see below), whose sum is σ = 1174459223808. Its totient is φ = 361359776736.

The previous prime is 677561105191. The next prime is 677561105213. The reversal of 677561105205 is 502501165776.

677561105205 is a `hidden beast` number, since 6 + 7 + 7 + 5 + 6 + 110 + 520 + 5 = 666.

It is not a de Polignac number, because 677561105205 - 2⁶ = 677561105141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4033524 + ... + 4198146.

It is an arithmetic number, because the mean of its divisors is an integer number (48935800992).

Almost surely, 2^677561105205 is an apocalyptic number.

It is an amenable number.

677561105205 is a deficient number, since it is larger than the sum of its proper divisors (496898118603).

677561105205 is a wasteful number, since it uses less digits than its factorization.

677561105205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256097 (or 256094 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 677561105205 in words is "six hundred seventy-seven billion, five hundred sixty-one million, one hundred five thousand, two hundred five".