23429066693760 has 2688 divisors, whose sum is σ = 108637951887360. Its totient is φ = 4781933936640.

The previous prime is 23429066693749. The next prime is 23429066693827. The reversal of 23429066693760 is 6739666092432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-3 number, since 3×23429066693760³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 335 ways as a sum of consecutive naturals, for example, 9213159049 + ... + 9213161591.

It is an arithmetic number, because the mean of its divisors is an integer number (40415904720).

Almost surely, 2^{23429066693760} is an apocalyptic number.

23429066693760 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 23429066693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54318975943680).

23429066693760 is an abundant number, since it is smaller than the sum of its proper divisors (85208885193600).

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

23429066693760 is a wasteful number, since it uses less digits than its factorization.

23429066693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 63.

The spelling of 23429066693760 in words is "twenty-three trillion, four hundred twenty-nine billion, sixty-six million, six hundred ninety-three thousand, seven hundred sixty".