23742564768 has 288 divisors, whose sum is σ = 77849553600. Its totient is φ = 6802403328.

The previous prime is 23742564763. The next prime is 23742564847. The reversal of 23742564768 is 86746524732.

23742564768 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 2 + 564 + 76 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23742564761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4194196 + ... + 4199852.

It is an arithmetic number, because the mean of its divisors is an integer number (270310950).

Almost surely, 2^23742564768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23742564768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38924776800).

23742564768 is an abundant number, since it is smaller than the sum of its proper divisors (54106988832).

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

23742564768 is a wasteful number, since it uses less digits than its factorization.

23742564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5753 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 23742564768 in words is "twenty-three billion, seven hundred forty-two million, five hundred sixty-four thousand, seven hundred sixty-eight".