23646290680320 has 960 divisors, whose sum is σ = 95101348624128. Its totient is φ = 4906273996800.

The previous prime is 23646290680291. The next prime is 23646290680333. The reversal of 23646290680320 is 2308609264632.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5184450840 + ... + 5184455400.

Almost surely, 2^{23646290680320} is an apocalyptic number.

23646290680320 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 23646290680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47550674312064).

23646290680320 is an abundant number, since it is smaller than the sum of its proper divisors (71455057943808).

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

23646290680320 is a wasteful number, since it uses less digits than its factorization.

23646290680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 23646290680320 in words is "twenty-three trillion, six hundred forty-six billion, two hundred ninety million, six hundred eighty thousand, three hundred twenty".