677435408256 has 256 divisors, whose sum is σ = 1943210894400. Its totient is φ = 208647290880.

The previous prime is 677435408239. The next prime is 677435408311. The reversal of 677435408256 is 652804534776.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 677435408196 and 677435408205.

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 31 ways as a sum of consecutive naturals, for example, 25120476 + ... + 25147428.

Almost surely, 2^677435408256 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 677435408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971605447200).

677435408256 is an abundant number, since it is smaller than the sum of its proper divisors (1265775486144).

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

677435408256 is a wasteful number, since it uses less digits than its factorization.

677435408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27097 (or 27085 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 677435408256 in words is "six hundred seventy-seven billion, four hundred thirty-five million, four hundred eight thousand, two hundred fifty-six".