21676668480 has 168 divisors, whose sum is σ = 75297923064. Its totient is φ = 5723136000.

The previous prime is 21676668469. The next prime is 21676668547. The reversal of 21676668480 is 8486667612.

It can be written as a sum of positive squares in 4 ways, for example, as 9211392576 + 12465275904 = 95976^2 + 111648^2 .

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 23 ways as a sum of consecutive naturals, for example, 253620 + ... + 328140.

It is an arithmetic number, because the mean of its divisors is an integer number (448201923).

Almost surely, 2^21676668480 is an apocalyptic number.

21676668480 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 21676668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37648961532).

21676668480 is an abundant number, since it is smaller than the sum of its proper divisors (53621254584).

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

21676668480 is a wasteful number, since it uses less digits than its factorization.

21676668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74645 (or 74632 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 21676668480 in words is "twenty-one billion, six hundred seventy-six million, six hundred sixty-eight thousand, four hundred eighty".