9963588480 has 512 divisors, whose sum is σ = 35674214400. Its totient is φ = 2353397760.

The previous prime is 9963588461. The next prime is 9963588529. The reversal of 9963588480 is 848853699.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43509006 + ... + 43509234.

It is an arithmetic number, because the mean of its divisors is an integer number (69676200).

Almost surely, 2^9963588480 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 9963588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837107200).

9963588480 is an abundant number, since it is smaller than the sum of its proper divisors (25710625920).

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

9963588480 is a wasteful number, since it uses less digits than its factorization.

9963588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The square root of 9963588480 is about 99817.7763727484. The cubic root of 9963588480 is about 2151.8166351507.

The spelling of 9963588480 in words is "nine billion, nine hundred sixty-three million, five hundred eighty-eight thousand, four hundred eighty".