9792752256 has 384 divisors, whose sum is σ = 34243896960. Its totient is φ = 2727198720.

The previous prime is 9792752239. The next prime is 9792752269. The reversal of 9792752256 is 6522572979.

9792752256 is a `hidden beast` number, since 97 + 9 + 27 + 522 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 8926300 + ... + 8927396.

It is an arithmetic number, because the mean of its divisors is an integer number (89176815).

Almost surely, 2^9792752256 is an apocalyptic number.

9792752256 is a gapful number since it is divisible by the number (96) 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 9792752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17121948480).

9792752256 is an abundant number, since it is smaller than the sum of its proper divisors (24451144704).

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

9792752256 is a wasteful number, since it uses less digits than its factorization.

9792752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1150 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 9792752256 is about 98958.3359601403. The cubic root of 9792752256 is about 2139.4472803203.

The spelling of 9792752256 in words is "nine billion, seven hundred ninety-two million, seven hundred fifty-two thousand, two hundred fifty-six".