968266719988200 has 576 divisors, whose sum is σ = 3553158644006400. Its totient is φ = 235648204646400.

The previous prime is 968266719988189. The next prime is 968266719988201. The reversal of 968266719988200 is 2889917662869.

968266719988200 is a `hidden beast` number, since 9 + 6 + 8 + 266 + 71 + 9 + 9 + 88 + 200 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 968266719988200.

It is not an unprimeable number, because it can be changed into a prime (968266719988201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62624922 + ... + 76540278.

It is an arithmetic number, because the mean of its divisors is an integer number (6168678201400).

Almost surely, 2^{968266719988200} is an apocalyptic number.

968266719988200 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 968266719988200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776579322003200).

968266719988200 is an abundant number, since it is smaller than the sum of its proper divisors (2584891924018200).

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

968266719988200 is a wasteful number, since it uses less digits than its factorization.

968266719988200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915482 (or 13915470 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 81.

The spelling of 968266719988200 in words is "nine hundred sixty-eight trillion, two hundred sixty-six billion, seven hundred nineteen million, nine hundred eighty-eight thousand, two hundred".