23780643120 has 640 divisors, whose sum is σ = 96473825280. Its totient is φ = 5328322560.

The previous prime is 23780643119. The next prime is 23780643179. The reversal of 23780643120 is 2134608732.

It is a happy number.

23780643120 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 0 + 643 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14797357 + ... + 14798963.

It is an arithmetic number, because the mean of its divisors is an integer number (150740352).

Almost surely, 2^23780643120 is an apocalyptic number.

23780643120 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 23780643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48236912640).

23780643120 is an abundant number, since it is smaller than the sum of its proper divisors (72693182160).

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

23780643120 is a wasteful number, since it uses less digits than its factorization.

23780643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23780643120 in words is "twenty-three billion, seven hundred eighty million, six hundred forty-three thousand, one hundred twenty".