684842312704 has 99 divisors (see below), whose sum is σ = 1505426333803. Its totient is φ = 311159552000.

The previous prime is 684842312677. The next prime is 684842312711. The reversal of 684842312704 is 407213248486.

The square root of 684842312704 is 827552.

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

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 291297129 + ... + 291299479.

Almost surely, 2^684842312704 is an apocalyptic number.

684842312704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

684842312704 is the 827552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684842312704

684842312704 is an abundant number, since it is smaller than the sum of its proper divisors (820584021099).

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

684842312704 is an frugal number, since it uses more digits than its factorization.

684842312704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 49.

Multiplying 684842312704 by its sum of digits (49), we get a square (33557273322496 = 5792864²).

The spelling of 684842312704 in words is "six hundred eighty-four billion, eight hundred forty-two million, three hundred twelve thousand, seven hundred four".