6597802816 has 168 divisors, whose sum is σ = 15907268160. Its totient is φ = 2698629120.

The previous prime is 6597802807. The next prime is 6597802831. The reversal of 6597802816 is 6182087956.

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, 3026815 + ... + 3028993.

It is an arithmetic number, because the mean of its divisors is an integer number (94686120).

Almost surely, 2^6597802816 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 6597802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953634080).

6597802816 is an abundant number, since it is smaller than the sum of its proper divisors (9309465344).

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

6597802816 is a wasteful number, since it uses less digits than its factorization.

6597802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The square root of 6597802816 is about 81226.8601879945. The cubic root of 6597802816 is about 1875.5692793241.

It can be divided in two parts, 659780 and 2816, that added together give a square (662596 = 814²).

The spelling of 6597802816 in words is "six billion, five hundred ninety-seven million, eight hundred two thousand, eight hundred sixteen".