23840248320 has 480 divisors, whose sum is σ = 98522265600. Its totient is φ = 5448425472.

The previous prime is 23840248301. The next prime is 23840248381. The reversal of 23840248320 is 2384204832.

It is a happy number.

23840248320 is a `hidden beast` number, since 2 + 384 + 0 + 248 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3383361 + ... + 3390399.

It is an arithmetic number, because the mean of its divisors is an integer number (205254720).

Almost surely, 2^23840248320 is an apocalyptic number.

23840248320 is a gapful number since it is divisible by the number (20) 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 23840248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49261132800).

23840248320 is an abundant number, since it is smaller than the sum of its proper divisors (74682017280).

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

23840248320 is an equidigital number, since it uses as much as digits as its factorization.

23840248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7056 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 23840248320 in words is "twenty-three billion, eight hundred forty million, two hundred forty-eight thousand, three hundred twenty".