984620482560 has 1440 divisors, whose sum is σ = 4158588416640. Its totient is φ = 219556085760.

The previous prime is 984620482513. The next prime is 984620482603. The reversal of 984620482560 is 65284026489.

984620482560 is a `hidden beast` number, since 9 + 8 + 4 + 620 + 4 + 8 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 984620482497 and 984620482506.

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 95 ways as a sum of consecutive naturals, for example, 3479224179 + ... + 3479224461.

Almost surely, 2^984620482560 is an apocalyptic number.

984620482560 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 984620482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079294208320).

984620482560 is an abundant number, since it is smaller than the sum of its proper divisors (3173967934080).

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

984620482560 is a wasteful number, since it uses less digits than its factorization.

984620482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 984620482560 in words is "nine hundred eighty-four billion, six hundred twenty million, four hundred eighty-two thousand, five hundred sixty".