9538764800 has 216 divisors, whose sum is σ = 24574333392. Its totient is φ = 3670016000.

The previous prime is 9538764779. The next prime is 9538764811. The reversal of 9538764800 is 84678359.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134348765 + ... + 134348835.

It is an arithmetic number, because the mean of its divisors is an integer number (113770062).

Almost surely, 2^9538764800 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 9538764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287166696).

9538764800 is an abundant number, since it is smaller than the sum of its proper divisors (15035568592).

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

9538764800 is an frugal number, since it uses more digits than its factorization.

9538764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 9538764800 is about 97666.6002275087. The cubic root of 9538764800 is about 2120.7885994641.

The spelling of 9538764800 in words is "nine billion, five hundred thirty-eight million, seven hundred sixty-four thousand, eight hundred".