82332584296704 has 1728 divisors, whose sum is σ = 294804138137600. Its totient is φ = 22429565190144.

The previous prime is 82332584296673. The next prime is 82332584296751. The reversal of 82332584296704 is 40769248523328.

82332584296704 is a `hidden beast` number, since 8 + 2 + 332 + 5 + 8 + 4 + 296 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217236369987 + ... + 217236370365.

Almost surely, 2^{82332584296704} is an apocalyptic number.

82332584296704 is a gapful number since it is divisible by the number (84) 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 82332584296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147402069068800).

82332584296704 is an abundant number, since it is smaller than the sum of its proper divisors (212471553840896).

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

82332584296704 is a wasteful number, since it uses less digits than its factorization.

82332584296704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 82332584296704 in words is "eighty-two trillion, three hundred thirty-two billion, five hundred eighty-four million, two hundred ninety-six thousand, seven hundred four".