677845867776 has 576 divisors, whose sum is σ = 2374530170880. Its totient is φ = 166309355520.

The previous prime is 677845867759. The next prime is 677845867843. The reversal of 677845867776 is 677768548776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520218741 + ... + 520220043.

Almost surely, 2^677845867776 is an apocalyptic number.

677845867776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677845867776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187265085440).

677845867776 is an abundant number, since it is smaller than the sum of its proper divisors (1696684303104).

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

677845867776 is a wasteful number, since it uses less digits than its factorization.

677845867776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1808 counting only the distinct ones).

The product of its digits is 4646799360, while the sum is 78.

The spelling of 677845867776 in words is "six hundred seventy-seven billion, eight hundred forty-five million, eight hundred sixty-seven thousand, seven hundred seventy-six".