968778415200 has 288 divisors, whose sum is σ = 3341612123136. Its totient is φ = 242944450560.

The previous prime is 968778415159. The next prime is 968778415223. The reversal of 968778415200 is 2514877869.

968778415200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53153289 + ... + 53171511.

It is an arithmetic number, because the mean of its divisors is an integer number (11602819872).

Almost surely, 2^968778415200 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 968778415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670806061568).

968778415200 is an abundant number, since it is smaller than the sum of its proper divisors (2372833707936).

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

968778415200 is a wasteful number, since it uses less digits than its factorization.

968778415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566 (or 19553 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 968778415200 in words is "nine hundred sixty-eight billion, seven hundred seventy-eight million, four hundred fifteen thousand, two hundred".