23664648960 has 720 divisors, whose sum is σ = 91618702560. Its totient is φ = 5812715520.

The previous prime is 23664648949. The next prime is 23664648967. The reversal of 23664648960 is 6984646632.

23664648960 is a `hidden beast` number, since 2 + 3 + 66 + 46 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×23664648960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23664648897 and 23664648906.

It is not an unprimeable number, because it can be changed into a prime (23664648967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80766574 + ... + 80766866.

It is an arithmetic number, because the mean of its divisors is an integer number (127248198).

Almost surely, 2^23664648960 is an apocalyptic number.

23664648960 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 23664648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45809351280).

23664648960 is an abundant number, since it is smaller than the sum of its proper divisors (67954053600).

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

23664648960 is a wasteful number, since it uses less digits than its factorization.

23664648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 23664648960 in words is "twenty-three billion, six hundred sixty-four million, six hundred forty-eight thousand, nine hundred sixty".