9538746624 has 720 divisors, whose sum is σ = 34190069760. Its totient is φ = 2612736000.

The previous prime is 9538746619. The next prime is 9538746661. The reversal of 9538746624 is 4266478359.

9538746624 is a `hidden beast` number, since 9 + 5 + 3 + 8 + 7 + 4 + 6 + 624 = 666.

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

Its product of digits (8709120) is a multiple of the sum of its prime factors (160).

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 79 ways as a sum of consecutive naturals, for example, 134348509 + ... + 134348579.

It is an arithmetic number, because the mean of its divisors is an integer number (47486208).

Almost surely, 2^9538746624 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 9538746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095034880).

9538746624 is an abundant number, since it is smaller than the sum of its proper divisors (24651323136).

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

9538746624 is a wasteful number, since it uses less digits than its factorization.

9538746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 9538746624 is about 97666.5071762065. The cubic root of 9538746624 is about 2120.7872524177.

The spelling of 9538746624 in words is "nine billion, five hundred thirty-eight million, seven hundred forty-six thousand, six hundred twenty-four".