23280467696640 has 3520 divisors, whose sum is σ = 112376503388160. Its totient is φ = 4463528509440.

The previous prime is 23280467696597. The next prime is 23280467696677. The reversal of 23280467696640 is 4669676408232.

23280467696640 is a `hidden beast` number, since 2 + 3 + 2 + 80 + 467 + 6 + 96 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21299603934 + ... + 21299605026.

It is an arithmetic number, because the mean of its divisors is an integer number (31925143008).

Almost surely, 2^{23280467696640} is an apocalyptic number.

23280467696640 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 23280467696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56188251694080).

23280467696640 is an abundant number, since it is smaller than the sum of its proper divisors (89096035691520).

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

23280467696640 is a wasteful number, since it uses less digits than its factorization.

23280467696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 23280467696640 in words is "twenty-three trillion, two hundred eighty billion, four hundred sixty-seven million, six hundred ninety-six thousand, six hundred forty".