677767045604688 has 240 divisors, whose sum is σ = 2114800317152640. Its totient is φ = 207732246478848.

The previous prime is 677767045604687. The next prime is 677767045604741. The reversal of 677767045604688 is 886406540767776.

677767045604688 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 6 + 7 + 0 + 4 + 560 + 46 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677767045604687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701845 + ... + 36824267.

It is an arithmetic number, because the mean of its divisors is an integer number (8811667988136).

Almost surely, 2^{677767045604688} 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 677767045604688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057400158576320).

677767045604688 is an abundant number, since it is smaller than the sum of its proper divisors (1437033271547952).

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

677767045604688 is a wasteful number, since it uses less digits than its factorization.

677767045604688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36122723 (or 36122698 counting only the distinct ones).

The product of its (nonzero) digits is 15931883520, while the sum is 81.

The spelling of 677767045604688 in words is "six hundred seventy-seven trillion, seven hundred sixty-seven billion, forty-five million, six hundred four thousand, six hundred eighty-eight".