9750594672 has 720 divisors, whose sum is σ = 36882972672. Its totient is φ = 2469035520.

The previous prime is 9750594653. The next prime is 9750594683. The reversal of 9750594672 is 2764950579.

9750594672 is a `hidden beast` number, since 97 + 505 + 9 + 46 + 7 + 2 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 76776273 + ... + 76776399.

Almost surely, 2^9750594672 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 9750594672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441486336).

9750594672 is an abundant number, since it is smaller than the sum of its proper divisors (27132378000).

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

9750594672 is a wasteful number, since it uses less digits than its factorization.

9750594672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

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

The square root of 9750594672 is about 98745.0994834680. The cubic root of 9750594672 is about 2136.3727729657.

It can be divided in two parts, 97 and 50594672, that added together give a square (50594769 = 7113²).

The spelling of 9750594672 in words is "nine billion, seven hundred fifty million, five hundred ninety-four thousand, six hundred seventy-two".