21268632734720 has 264 divisors, whose sum is σ = 62473231614960. Its totient is φ = 6908306227200.

The previous prime is 21268632734683. The next prime is 21268632734729. The reversal of 21268632734720 is 2743723686212.

It is not an unprimeable number, because it can be changed into a prime (21268632734729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2535770 + ... + 6997670.

Almost surely, 2^{21268632734720} is an apocalyptic number.

21268632734720 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 21268632734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31236615807480).

21268632734720 is an abundant number, since it is smaller than the sum of its proper divisors (41204598880240).

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

21268632734720 is a wasteful number, since it uses less digits than its factorization.

21268632734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461959 (or 4461934 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 53.

The spelling of 21268632734720 in words is "twenty-one trillion, two hundred sixty-eight billion, six hundred thirty-two million, seven hundred thirty-four thousand, seven hundred twenty".