23945262768 has 720 divisors, whose sum is σ = 86032826880. Its totient is φ = 6419492352.

The previous prime is 23945262743. The next prime is 23945262779. The reversal of 23945262768 is 86726254932.

23945262768 is a `hidden beast` number, since 2 + 3 + 9 + 4 + 5 + 2 + 627 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303104553 + ... + 303104631.

Almost surely, 2^23945262768 is an apocalyptic number.

23945262768 is a gapful number since it is divisible by the number (28) 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 23945262768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43016413440).

23945262768 is an abundant number, since it is smaller than the sum of its proper divisors (62087564112).

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

23945262768 is a wasteful number, since it uses less digits than its factorization.

23945262768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 23945262768 in words is "twenty-three billion, nine hundred forty-five million, two hundred sixty-two thousand, seven hundred sixty-eight".