677893237056 has 1792 divisors, whose sum is σ = 2724765696000. Its totient is φ = 160526499840.

The previous prime is 677893237051. The next prime is 677893237123. The reversal of 677893237056 is 650732398776.

677893237056 is a `hidden beast` number, since 67 + 78 + 93 + 2 + 370 + 56 = 666.

677893237056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 677893236984 and 677893237002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677893237051) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3512400096 + ... + 3512400288.

Almost surely, 2^677893237056 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 677893237056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362382848000).

677893237056 is an abundant number, since it is smaller than the sum of its proper divisors (2046872458944).

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

677893237056 is a wasteful number, since it uses less digits than its factorization.

677893237056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 677893237056 in words is "six hundred seventy-seven billion, eight hundred ninety-three million, two hundred thirty-seven thousand, fifty-six".