968284134720 has 840 divisors, whose sum is σ = 4154772593664. Its totient is φ = 209659373568.

The previous prime is 968284134703. The next prime is 968284134749. The reversal of 968284134720 is 27431482869.

968284134720 is a `hidden beast` number, since 9 + 6 + 82 + 84 + 13 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 65492449 + ... + 65507231.

Almost surely, 2^968284134720 is an apocalyptic number.

968284134720 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 968284134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077386296832).

968284134720 is an abundant number, since it is smaller than the sum of its proper divisors (3186488458944).

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

968284134720 is a wasteful number, since it uses less digits than its factorization.

968284134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14857 (or 14819 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 968284134720 in words is "nine hundred sixty-eight billion, two hundred eighty-four million, one hundred thirty-four thousand, seven hundred twenty".