9638748000 has 576 divisors, whose sum is σ = 40819064832. Its totient is φ = 2106086400.

The previous prime is 9638747969. The next prime is 9638748047. The reversal of 9638748000 is 8478369.

It is a happy number.

9638748000 is a `hidden beast` number, since 9 + 638 + 7 + 4 + 8 + 0 + 0 + 0 = 666.

9638748000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5795169 + ... + 5796831.

It is an arithmetic number, because the mean of its divisors is an integer number (70866432).

Almost surely, 2^9638748000 is an apocalyptic number.

9638748000 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 9638748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409532416).

9638748000 is an abundant number, since it is smaller than the sum of its proper divisors (31180316832).

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

9638748000 is a wasteful number, since it uses less digits than its factorization.

9638748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9638748000 is about 98177.1256454374. The cubic root of 9638748000 is about 2128.1727369343.

The spelling of 9638748000 in words is "nine billion, six hundred thirty-eight million, seven hundred forty-eight thousand".