982223882640 has 2560 divisors, whose sum is σ = 4735696896000. Its totient is φ = 184354652160.

The previous prime is 982223882621. The next prime is 982223882657. The reversal of 982223882640 is 46288322289.

982223882640 is a `hidden beast` number, since 9 + 82 + 223 + 88 + 264 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7734046257 + ... + 7734046383.

It is an arithmetic number, because the mean of its divisors is an integer number (1849881600).

Almost surely, 2^982223882640 is an apocalyptic number.

982223882640 is a gapful number since it is divisible by the number (90) 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 982223882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367848448000).

982223882640 is an abundant number, since it is smaller than the sum of its proper divisors (3753473013360).

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

982223882640 is a wasteful number, since it uses less digits than its factorization.

982223882640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 982223882640 in words is "nine hundred eighty-two billion, two hundred twenty-three million, eight hundred eighty-two thousand, six hundred forty".