23745292704 has 288 divisors, whose sum is σ = 80503428096. Its totient is φ = 6496174080.

The previous prime is 23745292663. The next prime is 23745292709. The reversal of 23745292704 is 40729254732.

23745292704 is a `hidden beast` number, since 2 + 374 + 5 + 2 + 9 + 270 + 4 = 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 23745292704.

It is not an unprimeable number, because it can be changed into a prime (23745292709) 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, 6060154 + ... + 6064070.

It is an arithmetic number, because the mean of its divisors is an integer number (279525792).

Almost surely, 2^23745292704 is an apocalyptic number.

23745292704 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 23745292704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40251714048).

23745292704 is an abundant number, since it is smaller than the sum of its proper divisors (56758135392).

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

23745292704 is a wasteful number, since it uses less digits than its factorization.

23745292704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 23745292704 in words is "twenty-three billion, seven hundred forty-five million, two hundred ninety-two thousand, seven hundred four".