23430675744 has 288 divisors, whose sum is σ = 80393040000. Its totient is φ = 6462844416.

The previous prime is 23430675727. The next prime is 23430675881. The reversal of 23430675744 is 44757603432.

23430675744 is a `hidden beast` number, since 234 + 306 + 75 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 23430675744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2860647 + ... + 2868825.

It is an arithmetic number, because the mean of its divisors is an integer number (279142500).

Almost surely, 2^23430675744 is an apocalyptic number.

23430675744 is a gapful number since it is divisible by the number (24) 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 23430675744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40196520000).

23430675744 is an abundant number, since it is smaller than the sum of its proper divisors (56962364256).

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

23430675744 is a wasteful number, since it uses less digits than its factorization.

23430675744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 23430675744 in words is "twenty-three billion, four hundred thirty million, six hundred seventy-five thousand, seven hundred forty-four".