9630408240 has 120 divisors (see below), whose sum is σ = 32365935888. Its totient is φ = 2566218240.

The previous prime is 9630408233. The next prime is 9630408253. The reversal of 9630408240 is 428040369.

It is a happy number.

9630408240 is a `hidden beast` number, since 9 + 6 + 3 + 0 + 408 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9630408195 and 9630408204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167330 + ... + 1175550.

Almost surely, 2^9630408240 is an apocalyptic number.

9630408240 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 9630408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182967944).

9630408240 is an abundant number, since it is smaller than the sum of its proper divisors (22735527648).

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

9630408240 is a wasteful number, since it uses less digits than its factorization.

9630408240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9630408240 is about 98134.6434242261. The cubic root of 9630408240 is about 2127.5587716084.

The spelling of 9630408240 in words is "nine billion, six hundred thirty million, four hundred eight thousand, two hundred forty".