677743640 has 128 divisors (see below), whose sum is σ = 1798917120. Its totient is φ = 224985600.

The previous prime is 677743637. The next prime is 677743657. The reversal of 677743640 is 46347776.

It is a junction number, because it is equal to n+sod(n) for n = 677743591 and 677743600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179085 + ... + 2179395.

It is an arithmetic number, because the mean of its divisors is an integer number (14054040).

Almost surely, 2^677743640 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 677743640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899458560).

677743640 is an abundant number, since it is smaller than the sum of its proper divisors (1121173480).

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

677743640 is a wasteful number, since it uses less digits than its factorization.

677743640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 44.

The square root of 677743640 is about 26033.5099439165. The cubic root of 677743640 is about 878.3922262067.

The spelling of 677743640 in words is "six hundred seventy-seven million, seven hundred forty-three thousand, six hundred forty".