677122119200 has 162 divisors, whose sum is σ = 1691676329301. Its totient is φ = 264657857280.

The previous prime is 677122119137. The next prime is 677122119269. The reversal of 677122119200 is 2911221776.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 663579676816 + 13542442384 = 814604^2 + 116372^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=581860.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1093896491 + ... + 1093897109.

Almost surely, 2^677122119200 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 677122119200

677122119200 is an abundant number, since it is smaller than the sum of its proper divisors (1014554210101).

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

677122119200 is an frugal number, since it uses more digits than its factorization.

677122119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 677122119200 in words is "six hundred seventy-seven billion, one hundred twenty-two million, one hundred nineteen thousand, two hundred".