23706483240960 has 624 divisors, whose sum is σ = 88747256261664. Its totient is φ = 5818703413248.

The previous prime is 23706483240943. The next prime is 23706483240961. The reversal of 23706483240960 is 6904238460732.

23706483240960 is a `hidden beast` number, since 2 + 3 + 70 + 6 + 483 + 2 + 4 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 23706483240897 and 23706483240906.

It is not an unprimeable number, because it can be changed into a prime (23706483240961) 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, 845830467 + ... + 845858493.

It is an arithmetic number, because the mean of its divisors is an integer number (142223167086).

Almost surely, 2^{23706483240960} is an apocalyptic number.

23706483240960 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 23706483240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44373628130832).

23706483240960 is an abundant number, since it is smaller than the sum of its proper divisors (65040773020704).

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

23706483240960 is a wasteful number, since it uses less digits than its factorization.

23706483240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28428 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 23706483240960 in words is "twenty-three trillion, seven hundred six billion, four hundred eighty-three million, two hundred forty thousand, nine hundred sixty".