677849702112 has 144 divisors (see below), whose sum is σ = 2109511443312. Its totient is φ = 204760719360.

The previous prime is 677849702099. The next prime is 677849702129. The reversal of 677849702112 is 211207948776.

677849702112 is a `hidden beast` number, since 67 + 78 + 497 + 0 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666768 + ... + 1341744.

It is an arithmetic number, because the mean of its divisors is an integer number (14649385023).

Almost surely, 2^677849702112 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 677849702112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054755721656).

677849702112 is an abundant number, since it is smaller than the sum of its proper divisors (1431661741200).

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

677849702112 is a wasteful number, since it uses less digits than its factorization.

677849702112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675321 (or 675310 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 677849702112 in words is "six hundred seventy-seven billion, eight hundred forty-nine million, seven hundred two thousand, one hundred twelve".