21867804672 has 288 divisors, whose sum is σ = 71406316800. Its totient is φ = 5917556736.

The previous prime is 21867804631. The next prime is 21867804683. The reversal of 21867804672 is 27640876812.

It is a congruent number.

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, 5718153 + ... + 5721975.

It is an arithmetic number, because the mean of its divisors is an integer number (247938600).

Almost surely, 2^21867804672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21867804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703158400).

21867804672 is an abundant number, since it is smaller than the sum of its proper divisors (49538512128).

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

21867804672 is a wasteful number, since it uses less digits than its factorization.

21867804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 21867804672 in words is "twenty-one billion, eight hundred sixty-seven million, eight hundred four thousand, six hundred seventy-two".