7682352345600 has 960 divisors, whose sum is σ = 26753472430080. Its totient is φ = 1940889600000.

The previous prime is 7682352345599. The next prime is 7682352345643. The reversal of 7682352345600 is 65432532867.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14200281330 + ... + 14200281870.

It is an arithmetic number, because the mean of its divisors is an integer number (27868200448).

Almost surely, 2^{7682352345600} 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 7682352345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376736215040).

7682352345600 is an abundant number, since it is smaller than the sum of its proper divisors (19071120084480).

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

7682352345600 is a wasteful number, since it uses less digits than its factorization.

7682352345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 7682352345600 in words is "seven trillion, six hundred eighty-two billion, three hundred fifty-two million, three hundred forty-five thousand, six hundred".