9968532480 has 264 divisors, whose sum is σ = 34729270992. Its totient is φ = 2643787776.

The previous prime is 9968532461. The next prime is 9968532517. The reversal of 9968532480 is 842358699.

9968532480 is a `hidden beast` number, since 9 + 9 + 68 + 532 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10459684 + ... + 10460636.

Almost surely, 2^9968532480 is an apocalyptic number.

9968532480 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 9968532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364635496).

9968532480 is an abundant number, since it is smaller than the sum of its proper divisors (24760738512).

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

9968532480 is a wasteful number, since it uses less digits than its factorization.

9968532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 9968532480 is about 99842.5384292687. The cubic root of 9968532480 is about 2152.1724916209.

The spelling of 9968532480 in words is "nine billion, nine hundred sixty-eight million, five hundred thirty-two thousand, four hundred eighty".