82482840000 has 1120 divisors, whose sum is σ = 339362369280. Its totient is φ = 19468800000.

The previous prime is 82482839993. The next prime is 82482840001. The reversal of 82482840000 is 4828428.

82482840000 is a `hidden beast` number, since 8 + 248 + 2 + 8 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82482840001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 629639935 + ... + 629640065.

Almost surely, 2^82482840000 is an apocalyptic number.

82482840000 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 82482840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169681184640).

82482840000 is an abundant number, since it is smaller than the sum of its proper divisors (256879529280).

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

82482840000 is a wasteful number, since it uses less digits than its factorization.

82482840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 82482840000 in words is "eighty-two billion, four hundred eighty-two million, eight hundred forty thousand".