23348632320 has 720 divisors, whose sum is σ = 95358241440. Its totient is φ = 5403967488.

The previous prime is 23348632291. The next prime is 23348632331. The reversal of 23348632320 is 2323684332.

23348632320 is a `hidden beast` number, since 23 + 348 + 63 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 22912771 + ... + 22913789.

It is an arithmetic number, because the mean of its divisors is an integer number (132442002).

Almost surely, 2^23348632320 is an apocalyptic number.

23348632320 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 23348632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47679120720).

23348632320 is an abundant number, since it is smaller than the sum of its proper divisors (72009609120).

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

23348632320 is a wasteful number, since it uses less digits than its factorization.

23348632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 23348632320 in words is "twenty-three billion, three hundred forty-eight million, six hundred thirty-two thousand, three hundred twenty".