982734720000 has 1760 divisors, whose sum is σ = 3928982323200. Its totient is φ = 215654400000.

The previous prime is 982734719999. The next prime is 982734720017. The reversal of 982734720000 is 27437289.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12439679961 + ... + 12439680039.

It is an arithmetic number, because the mean of its divisors is an integer number (2232376320).

Almost surely, 2^982734720000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982734720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964491161600).

982734720000 is an abundant number, since it is smaller than the sum of its proper divisors (2946247603200).

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

982734720000 is a wasteful number, since it uses less digits than its factorization.

982734720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 982734720000 in words is "nine hundred eighty-two billion, seven hundred thirty-four million, seven hundred twenty thousand".