22012784640 has 1248 divisors, whose sum is σ = 100399380480. Its totient is φ = 4476764160.

The previous prime is 22012784617. The next prime is 22012784641. The reversal of 22012784640 is 4648721022.

22012784640 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 2 + 7 + 8 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22012784595 and 22012784604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012784641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468357097 + ... + 468357143.

Almost surely, 2^22012784640 is an apocalyptic number.

22012784640 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 22012784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50199690240).

22012784640 is an abundant number, since it is smaller than the sum of its proper divisors (78386595840).

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

22012784640 is a wasteful number, since it uses less digits than its factorization.

22012784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 22012784640 in words is "twenty-two billion, twelve million, seven hundred eighty-four thousand, six hundred forty".