22408807680 has 576 divisors, whose sum is σ = 91518873600. Its totient is φ = 5086126080.

The previous prime is 22408807679. The next prime is 22408807693. The reversal of 22408807680 is 8670880422.

It is a happy number.

22408807680 is a `hidden beast` number, since 22 + 408 + 80 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 51044901 + ... + 51045339.

Almost surely, 2^22408807680 is an apocalyptic number.

22408807680 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 22408807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45759436800).

22408807680 is an abundant number, since it is smaller than the sum of its proper divisors (69110065920).

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

22408807680 is a wasteful number, since it uses less digits than its factorization.

22408807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 22408807680 in words is "twenty-two billion, four hundred eight million, eight hundred seven thousand, six hundred eighty".