82464380228736 has 1920 divisors, whose sum is σ = 298898883803520. Its totient is φ = 22335160320000.

The previous prime is 82464380228701. The next prime is 82464380228743. The reversal of 82464380228736 is 63782208346428.

82464380228736 is a `hidden beast` number, since 8 + 2 + 464 + 3 + 80 + 2 + 28 + 73 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 137211946836 + ... + 137211947436.

It is an arithmetic number, because the mean of its divisors is an integer number (155676501981).

Almost surely, 2^{82464380228736} 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 82464380228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149449441901760).

82464380228736 is an abundant number, since it is smaller than the sum of its proper divisors (216434503574784).

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

82464380228736 is a wasteful number, since it uses less digits than its factorization.

82464380228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 82464380228736 in words is "eighty-two trillion, four hundred sixty-four billion, three hundred eighty million, two hundred twenty-eight thousand, seven hundred thirty-six".