677334433776 has 320 divisors, whose sum is σ = 2412858233856. Its totient is φ = 158008320000.

The previous prime is 677334433733. The next prime is 677334433801.

677334433776 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1587276 + ... + 1968276.

Almost surely, 2^677334433776 is an apocalyptic number.

677334433776 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 677334433776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206429116928).

677334433776 is an abundant number, since it is smaller than the sum of its proper divisors (1735523800080).

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

677334433776 is a wasteful number, since it uses less digits than its factorization.

677334433776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381080 (or 381074 counting only the distinct ones).

The product of its digits is 112021056, while the sum is 60.

It can be divided in two parts, 677 and 334433776, that added together give a triangular number (334434453 = T₂₅₈₆₂).

The spelling of 677334433776 in words is "six hundred seventy-seven billion, three hundred thirty-four million, four hundred thirty-three thousand, seven hundred seventy-six".