9968064480 has 288 divisors, whose sum is σ = 37443500640. Its totient is φ = 2394685440.

The previous prime is 9968064433. The next prime is 9968064493. The reversal of 9968064480 is 844608699.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787136 + ... + 1792704.

It is an arithmetic number, because the mean of its divisors is an integer number (130012155).

Almost surely, 2^9968064480 is an apocalyptic number.

9968064480 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 9968064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18721750320).

9968064480 is an abundant number, since it is smaller than the sum of its proper divisors (27475436160).

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

9968064480 is a wasteful number, since it uses less digits than its factorization.

9968064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9968064480 is about 99840.1947113486. The cubic root of 9968064480 is about 2152.1388112208.

The spelling of 9968064480 in words is "nine billion, nine hundred sixty-eight million, sixty-four thousand, four hundred eighty".