677231622144 has 1344 divisors, whose sum is σ = 2609017931520. Its totient is φ = 170559406080.

The previous prime is 677231622139. The next prime is 677231622161. The reversal of 677231622144 is 441226132776.

677231622144 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 3 + 1 + 622 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 677231622144.

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 111 ways as a sum of consecutive naturals, for example, 4943296444 + ... + 4943296580.

It is an arithmetic number, because the mean of its divisors is an integer number (1941233580).

Almost surely, 2^677231622144 is an apocalyptic number.

677231622144 is a gapful number since it is divisible by the number (64) 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 677231622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304508965760).

677231622144 is an abundant number, since it is smaller than the sum of its proper divisors (1931786309376).

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

677231622144 is a wasteful number, since it uses less digits than its factorization.

677231622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 677231622144 in words is "six hundred seventy-seven billion, two hundred thirty-one million, six hundred twenty-two thousand, one hundred forty-four".