23740685280 has 960 divisors, whose sum is σ = 96357159360. Its totient is φ = 5462360064.

The previous prime is 23740685263. The next prime is 23740685281. The reversal of 23740685280 is 8258604732.

23740685280 is a `hidden beast` number, since 23 + 7 + 40 + 68 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23740685281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 210094504 + ... + 210094616.

It is an arithmetic number, because the mean of its divisors is an integer number (100372041).

Almost surely, 2^23740685280 is an apocalyptic number.

23740685280 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 23740685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48178579680).

23740685280 is an abundant number, since it is smaller than the sum of its proper divisors (72616474080).

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

23740685280 is a wasteful number, since it uses less digits than its factorization.

23740685280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23740685280 in words is "twenty-three billion, seven hundred forty million, six hundred eighty-five thousand, two hundred eighty".