968288277320 has 512 divisors, whose sum is σ = 2939014471680. Its totient is φ = 278329098240.

The previous prime is 968288277251. The next prime is 968288277361. The reversal of 968288277320 is 23772882869.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1252636454 + ... + 1252637226.

It is an arithmetic number, because the mean of its divisors is an integer number (5740262640).

Almost surely, 2^968288277320 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 968288277320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469507235840).

968288277320 is an abundant number, since it is smaller than the sum of its proper divisors (1970726194360).

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

968288277320 is a wasteful number, since it uses less digits than its factorization.

968288277320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 62.

The spelling of 968288277320 in words is "nine hundred sixty-eight billion, two hundred eighty-eight million, two hundred seventy-seven thousand, three hundred twenty".