21844786320 has 480 divisors, whose sum is σ = 87451902720. Its totient is φ = 4964198400.

The previous prime is 21844786303. The next prime is 21844786321. The reversal of 21844786320 is 2368744812.

It is a happy number.

21844786320 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 4 + 7 + 8 + 632 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21844786321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31161970 + ... + 31162670.

It is an arithmetic number, because the mean of its divisors is an integer number (182191464).

Almost surely, 2^21844786320 is an apocalyptic number.

21844786320 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 21844786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43725951360).

21844786320 is an abundant number, since it is smaller than the sum of its proper divisors (65607116400).

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

21844786320 is a wasteful number, since it uses less digits than its factorization.

21844786320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 21844786320 in words is "twenty-one billion, eight hundred forty-four million, seven hundred eighty-six thousand, three hundred twenty".