9752400000 has 960 divisors, whose sum is σ = 42422909760. Its totient is φ = 2177280000.

The previous prime is 9752399983. The next prime is 9752400017. The reversal of 9752400000 is 42579.

It is an interprime number because it is at equal distance from previous prime (9752399983) and next prime (9752400017).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 226799979 + ... + 226800021.

It is an arithmetic number, because the mean of its divisors is an integer number (44190531).

Almost surely, 2^9752400000 is an apocalyptic number.

9752400000 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 9752400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21211454880).

9752400000 is an abundant number, since it is smaller than the sum of its proper divisors (32670509760).

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

9752400000 is an frugal number, since it uses more digits than its factorization.

9752400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9752400000 is about 98754.2404152855. The cubic root of 9752400000 is about 2136.5046150296.

Adding to 9752400000 its reverse (42579), we get a palindrome (9752442579).

The spelling of 9752400000 in words is "nine billion, seven hundred fifty-two million, four hundred thousand".