968675351280 has 1440 divisors, whose sum is σ = 4041860679360. Its totient is φ = 189882040320.

The previous prime is 968675351269. The next prime is 968675351299. The reversal of 968675351280 is 82153576869.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 13269525324 + ... + 13269525396.

It is an arithmetic number, because the mean of its divisors is an integer number (2806847694).

Almost surely, 2^968675351280 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 968675351280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020930339680).

968675351280 is an abundant number, since it is smaller than the sum of its proper divisors (3073185328080).

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

968675351280 is a wasteful number, since it uses less digits than its factorization.

968675351280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 968675351280 in words is "nine hundred sixty-eight billion, six hundred seventy-five million, three hundred fifty-one thousand, two hundred eighty".