82846320869760 has 384 divisors, whose sum is σ = 313722450224640. Its totient is φ = 18533400883200.

The previous prime is 82846320869657. The next prime is 82846320869861. The reversal of 82846320869760 is 6796802364828.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4946266 + ... + 13789785.

It is an arithmetic number, because the mean of its divisors is an integer number (816985547460).

Almost surely, 2^{82846320869760} is an apocalyptic number.

82846320869760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82846320869760 is an abundant number, since it is smaller than the sum of its proper divisors (230876129354880).

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

82846320869760 is a wasteful number, since it uses less digits than its factorization.

82846320869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18736134 (or 18736115 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 82846320869760 in words is "eighty-two trillion, eight hundred forty-six billion, three hundred twenty million, eight hundred sixty-nine thousand, seven hundred sixty".