968740116664320 has 13312 divisors, whose sum is σ = 5241228121866240. Its totient is φ = 165112971264000.

The previous prime is 968740116664297. The next prime is 968740116664321. The reversal of 968740116664320 is 23466611047869.

It is a tau number, because it is divible by the number of its divisors (13312).

It is a super-2 number, since 2×968740116664320² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (968740116664321) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 23627807723500 + ... + 23627807723540.

Almost surely, 2^{968740116664320} is an apocalyptic number.

968740116664320 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 968740116664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620614060933120).

968740116664320 is an abundant number, since it is smaller than the sum of its proper divisors (4272488005201920).

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

968740116664320 is a wasteful number, since it uses less digits than its factorization.

968740116664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 968740116664320 in words is "nine hundred sixty-eight trillion, seven hundred forty billion, one hundred sixteen million, six hundred sixty-four thousand, three hundred twenty".