968205469440 has 288 divisors, whose sum is σ = 3374856576000. Its totient is φ = 234609295360.

The previous prime is 968205469423. The next prime is 968205469447. The reversal of 968205469440 is 44964502869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968205469447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131742886 + ... + 131750234.

It is an arithmetic number, because the mean of its divisors is an integer number (11718252000).

Almost surely, 2^968205469440 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 968205469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687428288000).

968205469440 is an abundant number, since it is smaller than the sum of its proper divisors (2406651106560).

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

968205469440 is a wasteful number, since it uses less digits than its factorization.

968205469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10503 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 968205469440 in words is "nine hundred sixty-eight billion, two hundred five million, four hundred sixty-nine thousand, four hundred forty".