682432284492000 has 3840 divisors, whose sum is σ = 2999009602068480. Its totient is φ = 148769187840000.

The previous prime is 682432284491981. The next prime is 682432284492029. The reversal of 682432284492000 is 294482234286.

682432284492000 is a `hidden beast` number, since 6 + 82 + 43 + 2 + 284 + 49 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 778143995562 + ... + 778143996438.

It is an arithmetic number, because the mean of its divisors is an integer number (780992083872).

Almost surely, 2^{682432284492000} is an apocalyptic number.

682432284492000 is a gapful number since it is divisible by the number (60) 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 682432284492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499504801034240).

682432284492000 is an abundant number, since it is smaller than the sum of its proper divisors (2316577317576480).

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

682432284492000 is a wasteful number, since it uses less digits than its factorization.

682432284492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 682432284492000 in words is "six hundred eighty-two trillion, four hundred thirty-two billion, two hundred eighty-four million, four hundred ninety-two thousand".