677682025160 has 128 divisors (see below), whose sum is σ = 1753217706240. Its totient is φ = 230936294400.

The previous prime is 677682025151. The next prime is 677682025187. The reversal of 677682025160 is 61520286776.

It is a junction number, because it is equal to n+sod(n) for n = 677682025099 and 677682025108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60173930 + ... + 60185190.

It is an arithmetic number, because the mean of its divisors is an integer number (13697013330).

Almost surely, 2^677682025160 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 677682025160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876608853120).

677682025160 is an abundant number, since it is smaller than the sum of its proper divisors (1075535681080).

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

677682025160 is a wasteful number, since it uses less digits than its factorization.

677682025160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12563 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 677682025160 in words is "six hundred seventy-seven billion, six hundred eighty-two million, twenty-five thousand, one hundred sixty".