984104959680 has 896 divisors, whose sum is σ = 3959899176960. Its totient is φ = 228606935040.

The previous prime is 984104959667. The next prime is 984104959681. The reversal of 984104959680 is 86959401489.

984104959680 is a `hidden beast` number, since 9 + 84 + 1 + 0 + 495 + 9 + 68 + 0 = 666.

984104959680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (984104959681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104720742 + ... + 104730138.

Almost surely, 2^984104959680 is an apocalyptic number.

984104959680 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 984104959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979949588480).

984104959680 is an abundant number, since it is smaller than the sum of its proper divisors (2975794217280).

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

984104959680 is a wasteful number, since it uses less digits than its factorization.

984104959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 984104959680 in words is "nine hundred eighty-four billion, one hundred four million, nine hundred fifty-nine thousand, six hundred eighty".