9632881440 has 1152 divisors, whose sum is σ = 43985410560. Its totient is φ = 1863254016.

The previous prime is 9632881397. The next prime is 9632881451. The reversal of 9632881440 is 441882369.

It is a happy number.

9632881440 is a `hidden beast` number, since 9 + 632 + 8 + 8 + 1 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131957244 + ... + 131957316.

It is an arithmetic number, because the mean of its divisors is an integer number (38181780).

Almost surely, 2^9632881440 is an apocalyptic number.

9632881440 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 9632881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992705280).

9632881440 is an abundant number, since it is smaller than the sum of its proper divisors (34352529120).

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

9632881440 is a wasteful number, since it uses less digits than its factorization.

9632881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9632881440 is about 98147.2436699065. The cubic root of 9632881440 is about 2127.7408832368.

The spelling of 9632881440 in words is "nine billion, six hundred thirty-two million, eight hundred eighty-one thousand, four hundred forty".