968298330233520 has 960 divisors, whose sum is σ = 4044313541116800. Its totient is φ = 211397183078400.

The previous prime is 968298330233431. The next prime is 968298330233573. The reversal of 968298330233520 is 25332033892869.

968298330233520 is a `hidden beast` number, since 9 + 6 + 8 + 2 + 9 + 83 + 3 + 0 + 23 + 3 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135829416 + ... + 142780344.

It is an arithmetic number, because the mean of its divisors is an integer number (4212826605330).

Almost surely, 2^{968298330233520} is an apocalyptic number.

968298330233520 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 968298330233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022156770558400).

968298330233520 is an abundant number, since it is smaller than the sum of its proper divisors (3076015210883280).

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

968298330233520 is a wasteful number, since it uses less digits than its factorization.

968298330233520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951027 (or 6951004 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 968298330233520 in words is "nine hundred sixty-eight trillion, two hundred ninety-eight billion, three hundred thirty million, two hundred thirty-three thousand, five hundred twenty".