6597780720336 has 120 divisors (see below), whose sum is σ = 19890913360136. Its totient is φ = 2029480427520.

The previous prime is 6597780720317. The next prime is 6597780720343. The reversal of 6597780720336 is 6330270877956.

6597780720336 is a `hidden beast` number, since 6 + 597 + 7 + 8 + 0 + 7 + 2 + 0 + 3 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64031265936 + 6533749454400 = 253044^2 + 2556120^2 .

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 5767476 + ... + 6816108.

Almost surely, 2^{6597780720336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6597780720336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945456680068).

6597780720336 is an abundant number, since it is smaller than the sum of its proper divisors (13293132639800).

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

6597780720336 is a wasteful number, since it uses less digits than its factorization.

6597780720336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052021 (or 1052012 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 6597780720336 in words is "six trillion, five hundred ninety-seven billion, seven hundred eighty million, seven hundred twenty thousand, three hundred thirty-six".