677643850260 has 288 divisors, whose sum is σ = 2297029093632. Its totient is φ = 166702510080.

The previous prime is 677643850249. The next prime is 677643850283. The reversal of 677643850260 is 62058346776.

677643850260 is a `hidden beast` number, since 6 + 7 + 76 + 4 + 3 + 8 + 502 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 677643850197 and 677643850206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192128617 + ... + 192132143.

It is an arithmetic number, because the mean of its divisors is an integer number (7975795464).

Almost surely, 2^677643850260 is an apocalyptic number.

677643850260 is a gapful number since it is divisible by the number (60) 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 677643850260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148514546816).

677643850260 is an abundant number, since it is smaller than the sum of its proper divisors (1619385243372).

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

677643850260 is a wasteful number, since it uses less digits than its factorization.

677643850260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 677643850260 in words is "six hundred seventy-seven billion, six hundred forty-three million, eight hundred fifty thousand, two hundred sixty".