22368415680 has 280 divisors, whose sum is σ = 85690325952. Its totient is φ = 5505988608.

The previous prime is 22368415661. The next prime is 22368415681. The reversal of 22368415680 is 8651486322.

22368415680 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 84 + 1 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22368415681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303769 + ... + 370151.

Almost surely, 2^22368415680 is an apocalyptic number.

22368415680 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 22368415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42845162976).

22368415680 is an abundant number, since it is smaller than the sum of its proper divisors (63321910272).

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

22368415680 is a wasteful number, since it uses less digits than its factorization.

22368415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66425 (or 66406 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 22368415680 in words is "twenty-two billion, three hundred sixty-eight million, four hundred fifteen thousand, six hundred eighty".