20783192768640 has 512 divisors, whose sum is σ = 74072676787200. Its totient is φ = 5507183001600.

The previous prime is 20783192768629. The next prime is 20783192768671. The reversal of 20783192768640 is 4686729138702.

20783192768640 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 319 + 276 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×20783192768640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6452402230 + ... + 6452405450.

It is an arithmetic number, because the mean of its divisors is an integer number (144673196850).

Almost surely, 2^{20783192768640} is an apocalyptic number.

20783192768640 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 20783192768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37036338393600).

20783192768640 is an abundant number, since it is smaller than the sum of its proper divisors (53289484018560).

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

20783192768640 is a wasteful number, since it uses less digits than its factorization.

20783192768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 20783192768640 in words is "twenty trillion, seven hundred eighty-three billion, one hundred ninety-two million, seven hundred sixty-eight thousand, six hundred forty".