1982363717664 has 480 divisors, whose sum is σ = 6455336912640. Its totient is φ = 591755673600.

The previous prime is 1982363717639. The next prime is 1982363717681. The reversal of 1982363717664 is 4667173632891.

It is a happy number.

1982363717664 is a `hidden beast` number, since 1 + 9 + 82 + 363 + 71 + 76 + 64 = 666.

It is a super-2 number, since 2×1982363717664² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1443818482 + ... + 1443819854.

It is an arithmetic number, because the mean of its divisors is an integer number (13448618568).

Almost surely, 2^{1982363717664} 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 1982363717664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227668456320).

1982363717664 is an abundant number, since it is smaller than the sum of its proper divisors (4472973194976).

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

1982363717664 is a wasteful number, since it uses less digits than its factorization.

1982363717664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2109 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 1982363717664 in words is "one trillion, nine hundred eighty-two billion, three hundred sixty-three million, seven hundred seventeen thousand, six hundred sixty-four".