968681529833472 has 5760 divisors, whose sum is σ = 4008457829376000. Its totient is φ = 230074605895680.

The previous prime is 968681529833431. The next prime is 968681529833483. The reversal of 968681529833472 is 274338925186869.

968681529833472 is a `hidden beast` number, since 9 + 6 + 8 + 6 + 8 + 1 + 52 + 98 + 3 + 3 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 968681529833391 and 968681529833400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7394515494847 + ... + 7394515494977.

It is an arithmetic number, because the mean of its divisors is an integer number (695912817600).

Almost surely, 2^{968681529833472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968681529833472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004228914688000).

968681529833472 is an abundant number, since it is smaller than the sum of its proper divisors (3039776299542528).

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

968681529833472 is a wasteful number, since it uses less digits than its factorization.

968681529833472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 331 counting only the distinct ones).

The product of its digits is 7524679680, while the sum is 81.

The spelling of 968681529833472 in words is "nine hundred sixty-eight trillion, six hundred eighty-one billion, five hundred twenty-nine million, eight hundred thirty-three thousand, four hundred seventy-two".