82646329920 has 336 divisors, whose sum is σ = 329632324224. Its totient is φ = 17173094400.

The previous prime is 82646329919. The next prime is 82646329973. The reversal of 82646329920 is 2992364628.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762300 + ... + 863940.

It is an arithmetic number, because the mean of its divisors is an integer number (981048584).

Almost surely, 2^82646329920 is an apocalyptic number.

82646329920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82646329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164816162112).

82646329920 is an abundant number, since it is smaller than the sum of its proper divisors (246985994304).

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

82646329920 is a wasteful number, since it uses less digits than its factorization.

82646329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101690 (or 101669 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 82646329920 in words is "eighty-two billion, six hundred forty-six million, three hundred twenty-nine thousand, nine hundred twenty".