9764352000 has 624 divisors, whose sum is σ = 38139655008. Its totient is φ = 2388787200.

The previous prime is 9764351983. The next prime is 9764352011. The reversal of 9764352000 is 2534679.

9764352000 is a `hidden beast` number, since 9 + 7 + 643 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59903919 + ... + 59904081.

It is an arithmetic number, because the mean of its divisors is an integer number (61121242).

Almost surely, 2^9764352000 is an apocalyptic number.

9764352000 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 9764352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19069827504).

9764352000 is an abundant number, since it is smaller than the sum of its proper divisors (28375303008).

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

9764352000 is a wasteful number, since it uses less digits than its factorization.

9764352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 9764352000 is about 98814.7357432079. The cubic root of 9764352000 is about 2137.3770525364.

Adding to 9764352000 its reverse (2534679), we get a palindrome (9766886679).

The spelling of 9764352000 in words is "nine billion, seven hundred sixty-four million, three hundred fifty-two thousand".