82464806592 has 448 divisors, whose sum is σ = 297043937280. Its totient is φ = 22170931200.

The previous prime is 82464806561. The next prime is 82464806657. The reversal of 82464806592 is 29560846428.

82464806592 is a `hidden beast` number, since 8 + 2 + 4 + 6 + 48 + 0 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16653717 + ... + 16658667.

Almost surely, 2^82464806592 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 82464806592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148521968640).

82464806592 is an abundant number, since it is smaller than the sum of its proper divisors (214579130688).

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

82464806592 is an equidigital number, since it uses as much as digits as its factorization.

82464806592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 82464806592 in words is "eighty-two billion, four hundred sixty-four million, eight hundred six thousand, five hundred ninety-two".