677588895984 has 720 divisors, whose sum is σ = 2541567079296. Its totient is φ = 152880537600.

The previous prime is 677588895941. The next prime is 677588895989. The reversal of 677588895984 is 489598885776.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 677588895897 and 677588895906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677588895989) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97197619 + ... + 97204589.

Almost surely, 2^677588895984 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 677588895984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270783539648).

677588895984 is an abundant number, since it is smaller than the sum of its proper divisors (1863978183312).

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

677588895984 is a wasteful number, since it uses less digits than its factorization.

677588895984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7024 counting only the distinct ones).

The product of its digits is 9754214400, while the sum is 84.

The spelling of 677588895984 in words is "six hundred seventy-seven billion, five hundred eighty-eight million, eight hundred ninety-five thousand, nine hundred eighty-four".