22629468960 has 480 divisors, whose sum is σ = 93410900352. Its totient is φ = 5051289600.

The previous prime is 22629468941. The next prime is 22629468971. The reversal of 22629468960 is 6986492622.

It is a happy number.

22629468960 is a `hidden beast` number, since 2 + 2 + 629 + 4 + 6 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 22629468897 and 22629468906.

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 79 ways as a sum of consecutive naturals, for example, 3898060 + ... + 3903860.

Almost surely, 2^22629468960 is an apocalyptic number.

22629468960 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 22629468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46705450176).

22629468960 is an abundant number, since it is smaller than the sum of its proper divisors (70781431392).

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

22629468960 is a wasteful number, since it uses less digits than its factorization.

22629468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 22629468960 in words is "twenty-two billion, six hundred twenty-nine million, four hundred sixty-eight thousand, nine hundred sixty".