677343744000 has 2496 divisors, whose sum is σ = 3214893846528. Its totient is φ = 133005312000.

The previous prime is 677343743981. The next prime is 677343744031. The reversal of 677343744000 is 447343776.

It is a super-3 number, since 3×677343744000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8160767959 + ... + 8160768041.

It is an arithmetic number, because the mean of its divisors is an integer number (1288018368).

Almost surely, 2^677343744000 is an apocalyptic number.

677343744000 is a gapful number since it is divisible by the number (60) 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 677343744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607446923264).

677343744000 is an abundant number, since it is smaller than the sum of its proper divisors (2537550102528).

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

677343744000 is a wasteful number, since it uses less digits than its factorization.

677343744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 677343744000 in words is "six hundred seventy-seven billion, three hundred forty-three million, seven hundred forty-four thousand".