6735602852416 has 63 divisors (see below), whose sum is σ = 13625134099563. Its totient is φ = 3303718179840.

The previous prime is 6735602852393. The next prime is 6735602852437. The reversal of 6735602852416 is 6142582065376.

The square root of 6735602852416 is 2595304.

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

It can be written as a sum of positive squares in 4 ways, for example, as 296676302400 + 6438926550016 = 544680^2 + 2537504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1100405836 + ... + 1100411956.

Almost surely, 2^{6735602852416} is an apocalyptic number.

6735602852416 is the 2595304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6735602852416

6735602852416 is an abundant number, since it is smaller than the sum of its proper divisors (6889531247147).

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

6735602852416 is an frugal number, since it uses more digits than its factorization.

6735602852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 6735602852416 in words is "six trillion, seven hundred thirty-five billion, six hundred two million, eight hundred fifty-two thousand, four hundred sixteen".