23929760064 has 672 divisors, whose sum is σ = 82844737536. Its totient is φ = 5957038080.

The previous prime is 23929760051. The next prime is 23929760087. The reversal of 23929760064 is 46006792932.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 23929759995 and 23929760022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 556506027 + ... + 556506069.

Almost surely, 2^23929760064 is an apocalyptic number.

23929760064 is a gapful number since it is divisible by the number (24) 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 23929760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41422368768).

23929760064 is an abundant number, since it is smaller than the sum of its proper divisors (58914977472).

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

23929760064 is a wasteful number, since it uses less digits than its factorization.

23929760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 23929760064 in words is "twenty-three billion, nine hundred twenty-nine million, seven hundred sixty thousand, sixty-four".