23632823632 has 120 divisors (see below), whose sum is σ = 53434080000. Its totient is φ = 10083025920.

The previous prime is 23632823611. The next prime is 23632823639.

It is a happy number.

23632823632 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23632823639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16422369 + ... + 16423807.

It is an arithmetic number, because the mean of its divisors is an integer number (445284000).

Almost surely, 2^23632823632 is an apocalyptic number.

23632823632 is a gapful number since it is divisible by the number (22) 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 23632823632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040000).

23632823632 is an abundant number, since it is smaller than the sum of its proper divisors (29801256368).

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

23632823632 is a wasteful number, since it uses less digits than its factorization.

23632823632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1968 counting only the distinct ones).

The product of its digits is 373248, while the sum is 40.

The spelling of 23632823632 in words is "twenty-three billion, six hundred thirty-two million, eight hundred twenty-three thousand, six hundred thirty-two".