82329064796160 has 3120 divisors, whose sum is σ = 391555701383616. Its totient is φ = 16345164939264.

The previous prime is 82329064796149. The next prime is 82329064796171. The reversal of 82329064796160 is 6169746092328.

82329064796160 is a `hidden beast` number, since 8 + 2 + 3 + 2 + 9 + 0 + 6 + 4 + 7 + 9 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82329064796149) and next prime (82329064796171).

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 17964009229 + ... + 17964013811.

Almost surely, 2^{82329064796160} is an apocalyptic number.

82329064796160 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 82329064796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195777850691808).

82329064796160 is an abundant number, since it is smaller than the sum of its proper divisors (309226636587456).

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

82329064796160 is a wasteful number, since it uses less digits than its factorization.

82329064796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 82329064796160 in words is "eighty-two trillion, three hundred twenty-nine billion, sixty-four million, seven hundred ninety-six thousand, one hundred sixty".