984968678400 has 1056 divisors, whose sum is σ = 3837879360000. Its totient is φ = 222685102080.

The previous prime is 984968678387. The next prime is 984968678431. The reversal of 984968678400 is 4876869489.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3661593466 + ... + 3661593734.

Almost surely, 2^984968678400 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 984968678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918939680000).

984968678400 is an abundant number, since it is smaller than the sum of its proper divisors (2852910681600).

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

984968678400 is a wasteful number, since it uses less digits than its factorization.

984968678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 69.

The spelling of 984968678400 in words is "nine hundred eighty-four billion, nine hundred sixty-eight million, six hundred seventy-eight thousand, four hundred".