9630413352 has 240 divisors, whose sum is σ = 32744748960. Its totient is φ = 2631714624.

The previous prime is 9630413347. The next prime is 9630413413. The reversal of 9630413352 is 2533140369.

It is a happy number.

9630413352 is a `hidden beast` number, since 9 + 630 + 4 + 13 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×9630413352² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 723703 + ... + 736889.

It is an arithmetic number, because the mean of its divisors is an integer number (136436454).

Almost surely, 2^9630413352 is an apocalyptic number.

9630413352 is a gapful number since it is divisible by the number (92) 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 9630413352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16372374480).

9630413352 is an abundant number, since it is smaller than the sum of its proper divisors (23114335608).

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

9630413352 is a wasteful number, since it uses less digits than its factorization.

9630413352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 9630413352 is about 98134.6694700706. The cubic root of 9630413352 is about 2127.5591480576.

The spelling of 9630413352 in words is "nine billion, six hundred thirty million, four hundred thirteen thousand, three hundred fifty-two".