677710925824 has 117 divisors (see below), whose sum is σ = 1432455734397. Its totient is φ = 320546783232.

The previous prime is 677710925803. The next prime is 677710925869. The reversal of 677710925824 is 428529017776.

The square root of 677710925824 is 823232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 673712640000 + 3998285824 = 820800^2 + 63232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1001049774 + ... + 1001050450.

Almost surely, 2^677710925824 is an apocalyptic number.

677710925824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

677710925824 is the 823232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677710925824

677710925824 is an abundant number, since it is smaller than the sum of its proper divisors (754744808573).

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

677710925824 is an frugal number, since it uses more digits than its factorization.

677710925824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 677710925824 in words is "six hundred seventy-seven billion, seven hundred ten million, nine hundred twenty-five thousand, eight hundred twenty-four".