677839666176 has 264 divisors, whose sum is σ = 2063121025680. Its totient is φ = 213757526016.

The previous prime is 677839666087. The next prime is 677839666177. The reversal of 677839666176 is 671666938776.

It is a super-2 number, since 2×677839666176² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677839666177) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 150061870 + ... + 150066386.

It is an arithmetic number, because the mean of its divisors is an integer number (7814852370).

Almost surely, 2^677839666176 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 677839666176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031560512840).

677839666176 is an abundant number, since it is smaller than the sum of its proper divisors (1385281359504).

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

677839666176 is a wasteful number, since it uses less digits than its factorization.

677839666176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5398 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 677839666176 in words is "six hundred seventy-seven billion, eight hundred thirty-nine million, six hundred sixty-six thousand, one hundred seventy-six".