677759122656 has 1152 divisors, whose sum is σ = 2567796940800. Its totient is φ = 170785843200.

The previous prime is 677759122637. The next prime is 677759122673. The reversal of 677759122656 is 656221957776.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (66679200) is a multiple of the sum of its prime divisors (350).

It is a junction number, because it is equal to n+sod(n) for n = 677759122593 and 677759122602.

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 191 ways as a sum of consecutive naturals, for example, 4548718870 + ... + 4548719018.

It is an arithmetic number, because the mean of its divisors is an integer number (2228990400).

Almost surely, 2^677759122656 is an apocalyptic number.

677759122656 is a gapful number since it is divisible by the number (66) 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 677759122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283898470400).

677759122656 is an abundant number, since it is smaller than the sum of its proper divisors (1890037818144).

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

677759122656 is a wasteful number, since it uses less digits than its factorization.

677759122656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 677759122656 in words is "six hundred seventy-seven billion, seven hundred fifty-nine million, one hundred twenty-two thousand, six hundred fifty-six".