968737822848 has 640 divisors, whose sum is σ = 3157458796800. Its totient is φ = 293872803840.

The previous prime is 968737822757. The next prime is 968737822853. The reversal of 968737822848 is 848228737869.

It is a super-2 number, since 2×968737822848² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 490996390 + ... + 490998362.

It is an arithmetic number, because the mean of its divisors is an integer number (4933529370).

Almost surely, 2^968737822848 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 968737822848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578729398400).

968737822848 is an abundant number, since it is smaller than the sum of its proper divisors (2188720973952).

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

968737822848 is a wasteful number, since it uses less digits than its factorization.

968737822848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2101 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 968737822848 in words is "nine hundred sixty-eight billion, seven hundred thirty-seven million, eight hundred twenty-two thousand, eight hundred forty-eight".