677705511744 has 168 divisors, whose sum is σ = 1994767257600. Its totient is φ = 219893087232.

The previous prime is 677705511737. The next prime is 677705511767. The reversal of 677705511744 is 447115507776.

677705511744 is a `hidden beast` number, since 6 + 7 + 7 + 70 + 551 + 17 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3789657 + ... + 3964455.

Almost surely, 2^677705511744 is an apocalyptic number.

677705511744 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 677705511744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997383628800).

677705511744 is an abundant number, since it is smaller than the sum of its proper divisors (1317061745856).

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

677705511744 is a wasteful number, since it uses less digits than its factorization.

677705511744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174997 (or 174984 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The spelling of 677705511744 in words is "six hundred seventy-seven billion, seven hundred five million, five hundred eleven thousand, seven hundred forty-four".