23745489768 has 768 divisors, whose sum is σ = 93423456000. Its totient is φ = 5486745600.

The previous prime is 23745489763. The next prime is 23745489787. The reversal of 23745489768 is 86798454732.

23745489768 is a `hidden beast` number, since 2 + 37 + 454 + 8 + 97 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23745489763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43891578 + ... + 43892118.

It is an arithmetic number, because the mean of its divisors is an integer number (121645125).

Almost surely, 2^23745489768 is an apocalyptic number.

23745489768 is a gapful number since it is divisible by the number (28) 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 23745489768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46711728000).

23745489768 is an abundant number, since it is smaller than the sum of its proper divisors (69677966232).

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

23745489768 is a wasteful number, since it uses less digits than its factorization.

23745489768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 606 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 23745489768 in words is "twenty-three billion, seven hundred forty-five million, four hundred eighty-nine thousand, seven hundred sixty-eight".