6814832704 has 63 divisors (see below), whose sum is σ = 14389163373. Its totient is φ = 3201696768.

The previous prime is 6814832693. The next prime is 6814832711. The reversal of 6814832704 is 4072384186.

The square root of 6814832704 is 82552.

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., 5305665600 + 1509167104 = 72840^2 + 38848^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 11226769 + ... + 11227375.

Almost surely, 2^6814832704 is an apocalyptic number.

6814832704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6814832704 is the 82552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6814832704

6814832704 is an abundant number, since it is smaller than the sum of its proper divisors (7574330669).

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

6814832704 is an frugal number, since it uses more digits than its factorization.

6814832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The cubic root of 6814832704 is about 1895.9129788495.

The spelling of 6814832704 in words is "six billion, eight hundred fourteen million, eight hundred thirty-two thousand, seven hundred four".