968980359424 has 729 divisors, whose sum is σ = 2684215200009. Its totient is φ = 347757527040.

The previous prime is 968980359359. The next prime is 968980359433. The reversal of 968980359424 is 424953089869.

The square root of 968980359424 is 984368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 754396473600 + 214583885824 = 868560^2 + 463232^2 .

It is a super-2 number, since 2×968980359424² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 968980359424.

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 80 ways as a sum of consecutive naturals, for example, 20616603369 + ... + 20616603415.

Almost surely, 2^968980359424 is an apocalyptic number.

968980359424 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

968980359424 is the 984368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968980359424

968980359424 is an abundant number, since it is smaller than the sum of its proper divisors (1715234840585).

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

968980359424 is a wasteful number, since it uses less digits than its factorization.

968980359424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 67.

The spelling of 968980359424 in words is "nine hundred sixty-eight billion, nine hundred eighty million, three hundred fifty-nine thousand, four hundred twenty-four".