968292775296000 has 6336 divisors, whose sum is σ = 4631701770888192. Its totient is φ = 188833628160000.

The previous prime is 968292775295953. The next prime is 968292775296001. The reversal of 968292775296000 is 692577292869.

968292775296000 is a `hidden beast` number, since 9 + 6 + 8 + 2 + 9 + 2 + 7 + 7 + 5 + 2 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 968292775296000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968292775296001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3154048127847 + ... + 3154048128153.

It is an arithmetic number, because the mean of its divisors is an integer number (731013537072).

Almost surely, 2^{968292775296000} is an apocalyptic number.

968292775296000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968292775296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315850885444096).

968292775296000 is an abundant number, since it is smaller than the sum of its proper divisors (3663408995592192).

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

968292775296000 is a wasteful number, since it uses less digits than its factorization.

968292775296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 968292775296000 in words is "nine hundred sixty-eight trillion, two hundred ninety-two billion, seven hundred seventy-five million, two hundred ninety-six thousand".