677763216522 has 288 divisors, whose sum is σ = 1833901729920. Its totient is φ = 180353900160.

The previous prime is 677763216511. The next prime is 677763216553. The reversal of 677763216522 is 225612367776.

It is a happy number.

677763216522 is a `hidden beast` number, since 6 + 7 + 7 + 76 + 32 + 16 + 522 = 666.

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 143 ways as a sum of consecutive naturals, for example, 350626668 + ... + 350628600.

It is an arithmetic number, because the mean of its divisors is an integer number (6367714340).

Almost surely, 2^677763216522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677763216522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916950864960).

677763216522 is an abundant number, since it is smaller than the sum of its proper divisors (1156138513398).

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

677763216522 is a wasteful number, since it uses less digits than its factorization.

677763216522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2025 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 677763216522 in words is "six hundred seventy-seven billion, seven hundred sixty-three million, two hundred sixteen thousand, five hundred twenty-two".