23906816640 has 384 divisors, whose sum is σ = 96547651200. Its totient is φ = 5336948736.

The previous prime is 23906816533. The next prime is 23906816641. The reversal of 23906816640 is 4661860932.

23906816640 is a `hidden beast` number, since 2 + 390 + 68 + 166 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (23906816641) 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 47 ways as a sum of consecutive naturals, for example, 1726866 + ... + 1740654.

It is an arithmetic number, because the mean of its divisors is an integer number (251426175).

Almost surely, 2^23906816640 is an apocalyptic number.

23906816640 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 23906816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48273825600).

23906816640 is an abundant number, since it is smaller than the sum of its proper divisors (72640834560).

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

23906816640 is a wasteful number, since it uses less digits than its factorization.

23906816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13849 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 23906816640 in words is "twenty-three billion, nine hundred six million, eight hundred sixteen thousand, six hundred forty".