9963535440 has 160 divisors (see below), whose sum is σ = 32994781056. Its totient is φ = 2478407680.

The previous prime is 9963535433. The next prime is 9963535447. The reversal of 9963535440 is 445353699.

It is an interprime number because it is at equal distance from previous prime (9963535433) and next prime (9963535447).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9963535440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963535447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450235 + ... + 471845.

Almost surely, 2^9963535440 is an apocalyptic number.

9963535440 is the 57630-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9963535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497390528).

9963535440 is an abundant number, since it is smaller than the sum of its proper divisors (23031245616).

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

9963535440 is a wasteful number, since it uses less digits than its factorization.

9963535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21757 (or 21751 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The square root of 9963535440 is about 99817.5106882555. The cubic root of 9963535440 is about 2151.8128168290.

The spelling of 9963535440 in words is "nine billion, nine hundred sixty-three million, five hundred thirty-five thousand, four hundred forty".