22784732946720 has 288 divisors, whose sum is σ = 82134392558400. Its totient is φ = 5735801382912.

The previous prime is 22784732946713. The next prime is 22784732946733. The reversal of 22784732946720 is 2764923748722.

22784732946720 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 473 + 2 + 94 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6271546 + ... + 9214214.

It is an arithmetic number, because the mean of its divisors is an integer number (285188863050).

Almost surely, 2^{22784732946720} is an apocalyptic number.

22784732946720 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 22784732946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41067196279200).

22784732946720 is an abundant number, since it is smaller than the sum of its proper divisors (59349659611680).

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

22784732946720 is a wasteful number, since it uses less digits than its factorization.

22784732946720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942992 (or 2942981 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 22784732946720 in words is "twenty-two trillion, seven hundred eighty-four billion, seven hundred thirty-two million, nine hundred forty-six thousand, seven hundred twenty".