82094463360 has 2048 divisors, whose sum is σ = 393826406400. Its totient is φ = 15670444032.

The previous prime is 82094463359. The next prime is 82094463401. The reversal of 82094463360 is 6336449028.

82094463360 is a `hidden beast` number, since 8 + 2 + 0 + 9 + 4 + 4 + 633 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 989089879 + ... + 989089961.

It is an arithmetic number, because the mean of its divisors is an integer number (192298050).

Almost surely, 2^82094463360 is an apocalyptic number.

82094463360 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 82094463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196913203200).

82094463360 is an abundant number, since it is smaller than the sum of its proper divisors (311731943040).

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

82094463360 is a wasteful number, since it uses less digits than its factorization.

82094463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 82094463360 in words is "eighty-two billion, ninety-four million, four hundred sixty-three thousand, three hundred sixty".