23781488640 has 768 divisors, whose sum is σ = 96160296960. Its totient is φ = 4883742720.

The previous prime is 23781488629. The next prime is 23781488663. The reversal of 23781488640 is 4688418732.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131389350 + ... + 131389530.

It is an arithmetic number, because the mean of its divisors is an integer number (125208720).

Almost surely, 2^23781488640 is an apocalyptic number.

23781488640 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 23781488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48080148480).

23781488640 is an abundant number, since it is smaller than the sum of its proper divisors (72378808320).

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

23781488640 is a wasteful number, since it uses less digits than its factorization.

23781488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 23781488640 in words is "twenty-three billion, seven hundred eighty-one million, four hundred eighty-eight thousand, six hundred forty".