9538352640 has 560 divisors, whose sum is σ = 36227703600. Its totient is φ = 2400731136.

The previous prime is 9538352623. The next prime is 9538352669. The reversal of 9538352640 is 462538359.

9538352640 is a `hidden beast` number, since 9 + 5 + 3 + 83 + 526 + 40 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 35458426 + ... + 35458694.

Almost surely, 2^9538352640 is an apocalyptic number.

9538352640 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 9538352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113851800).

9538352640 is an abundant number, since it is smaller than the sum of its proper divisors (26689350960).

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

9538352640 is an equidigital number, since it uses as much as digits as its factorization.

9538352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 9538352640 is about 97664.4901691500. The cubic root of 9538352640 is about 2120.7580533422.

The spelling of 9538352640 in words is "nine billion, five hundred thirty-eight million, three hundred fifty-two thousand, six hundred forty".