82321303680 has 768 divisors, whose sum is σ = 356141111040. Its totient is φ = 17022320640.

The previous prime is 82321303657. The next prime is 82321303739. The reversal of 82321303680 is 8630312328.

82321303680 is a `hidden beast` number, since 82 + 3 + 213 + 0 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138821464 + ... + 138822056.

It is an arithmetic number, because the mean of its divisors is an integer number (463725405).

Almost surely, 2^82321303680 is an apocalyptic number.

82321303680 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 82321303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178070555520).

82321303680 is an abundant number, since it is smaller than the sum of its proper divisors (273819807360).

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

82321303680 is a wasteful number, since it uses less digits than its factorization.

82321303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 82321303680 in words is "eighty-two billion, three hundred twenty-one million, three hundred three thousand, six hundred eighty".