9723248640 has 544 divisors, whose sum is σ = 39761698560. Its totient is φ = 2208301056.

The previous prime is 9723248593. The next prime is 9723248683. The reversal of 9723248640 is 468423279.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931442 + ... + 61931598.

Almost surely, 2^9723248640 is an apocalyptic number.

9723248640 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 9723248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880849280).

9723248640 is an abundant number, since it is smaller than the sum of its proper divisors (30038449920).

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

9723248640 is an equidigital number, since it uses as much as digits as its factorization.

9723248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 9723248640 is about 98606.5344690706. The cubic root of 9723248640 is about 2134.3737147678.

The spelling of 9723248640 in words is "nine billion, seven hundred twenty-three million, two hundred forty-eight thousand, six hundred forty".