9508423680 has 768 divisors, whose sum is σ = 41041728000. Its totient is φ = 2045509632.

The previous prime is 9508423649. The next prime is 9508423681. The reversal of 9508423680 is 863248059.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9508423681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 559319032 + ... + 559319048.

It is an arithmetic number, because the mean of its divisors is an integer number (53439750).

Almost surely, 2^9508423680 is an apocalyptic number.

9508423680 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 9508423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864000).

9508423680 is an abundant number, since it is smaller than the sum of its proper divisors (31533304320).

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

9508423680 is an equidigital number, since it uses as much as digits as its factorization.

9508423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9508423680 is about 97511.1464397789. The cubic root of 9508423680 is about 2118.5375935553.

The spelling of 9508423680 in words is "nine billion, five hundred eight million, four hundred twenty-three thousand, six hundred eighty".