23640785280 has 256 divisors, whose sum is σ = 95689382400. Its totient is φ = 5403580416.

The previous prime is 23640785269. The next prime is 23640785299. The reversal of 23640785280 is 8258704632.

23640785280 is a `hidden beast` number, since 2 + 364 + 0 + 7 + 8 + 5 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23239 + ... + 218681.

It is an arithmetic number, because the mean of its divisors is an integer number (373786650).

Almost surely, 2^23640785280 is an apocalyptic number.

23640785280 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 23640785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47844691200).

23640785280 is an abundant number, since it is smaller than the sum of its proper divisors (72048597120).

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

23640785280 is a wasteful number, since it uses less digits than its factorization.

23640785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195478 (or 195460 counting only the distinct ones).

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

The spelling of 23640785280 in words is "twenty-three billion, six hundred forty million, seven hundred eighty-five thousand, two hundred eighty".