9604332000 has 576 divisors, whose sum is σ = 36360612288. Its totient is φ = 2488320000.

The previous prime is 9604331993. The next prime is 9604332007. The reversal of 9604332000 is 2334069.

9604332000 is a `hidden beast` number, since 9 + 604 + 33 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9604331993) and next prime (9604332007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9604332007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39851880 + ... + 39852120.

It is an arithmetic number, because the mean of its divisors is an integer number (63126063).

Almost surely, 2^9604332000 is an apocalyptic number.

9604332000 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 9604332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180306144).

9604332000 is an abundant number, since it is smaller than the sum of its proper divisors (26756280288).

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

9604332000 is a wasteful number, since it uses less digits than its factorization.

9604332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 9604332000 is about 98001.6938629124. The cubic root of 9604332000 is about 2125.6367734112.

Adding to 9604332000 its reverse (2334069), we get a palindrome (9606666069).

The spelling of 9604332000 in words is "nine billion, six hundred four million, three hundred thirty-two thousand".