23664748078080 has 1320 divisors, whose sum is σ = 87862766441472. Its totient is φ = 6115307175936.

The previous prime is 23664748078051. The next prime is 23664748078129. The reversal of 23664748078080 is 8087084746632.

23664748078080 is a `hidden beast` number, since 2 + 3 + 6 + 6 + 4 + 7 + 480 + 78 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23664748077999 and 23664748078017.

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 119 ways as a sum of consecutive naturals, for example, 186336598977 + ... + 186336599103.

Almost surely, 2^{23664748078080} is an apocalyptic number.

23664748078080 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 23664748078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43931383220736).

23664748078080 is an abundant number, since it is smaller than the sum of its proper divisors (64198018363392).

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

23664748078080 is an frugal number, since it uses more digits than its factorization.

23664748078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 23664748078080 in words is "twenty-three trillion, six hundred sixty-four billion, seven hundred forty-eight million, seventy-eight thousand, eighty".