9760452000 has 768 divisors, whose sum is σ = 37645171200. Its totient is φ = 2189721600.

The previous prime is 9760451999. The next prime is 9760452001. The reversal of 9760452000 is 2540679.

It is an interprime number because it is at equal distance from previous prime (9760451999) and next prime (9760452001).

It is not an unprimeable number, because it can be changed into a prime (9760452001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109667956 + ... + 109668044.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^9760452000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9760452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822585600).

9760452000 is an abundant number, since it is smaller than the sum of its proper divisors (27884719200).

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

9760452000 is a wasteful number, since it uses less digits than its factorization.

9760452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 9760452000 is about 98794.9998734754. Note that the first 3 decimals coincide. The cubic root of 9760452000 is about 2137.0924499140.

Adding to 9760452000 its reverse (2540679), we get a palindrome (9762992679).

The spelling of 9760452000 in words is "nine billion, seven hundred sixty million, four hundred fifty-two thousand".